49185429156864 has 1056 divisors, whose sum is σ = 192083501465856. Its totient is φ = 11706331299840.

The previous prime is 49185429156847. The next prime is 49185429156881. The reversal of 49185429156864 is 46865192458194.

49185429156864 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 54 + 2 + 9 + 1 + 568 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (49185429156847) and next prime (49185429156881).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49185429156792 and 49185429156801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1263835134 + ... + 1263874050.

It is an arithmetic number, because the mean of its divisors is an integer number (181897255176).

Almost surely, 2^{49185429156864} is an apocalyptic number.

49185429156864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49185429156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96041750732928).

49185429156864 is an abundant number, since it is smaller than the sum of its proper divisors (142898072308992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49185429156864 is a wasteful number, since it uses less digits than its factorization.

49185429156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39111 (or 39090 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 49185429156864 in words is "forty-nine trillion, one hundred eighty-five billion, four hundred twenty-nine million, one hundred fifty-six thousand, eight hundred sixty-four".