49738640523264 has 1664 divisors, whose sum is σ = 197912090050560. Its totient is φ = 11958799564800.

The previous prime is 49738640523181. The next prime is 49738640523283. The reversal of 49738640523264 is 46232504683794.

It is a happy number.

49738640523264 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 8 + 6 + 40 + 523 + 2 + 64 = 666.

It is a super-2 number, since 2×49738640523264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604472274929 + ... + 1604472274959.

Almost surely, 2^{49738640523264} is an apocalyptic number.

49738640523264 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 49738640523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98956045025280).

49738640523264 is an abundant number, since it is smaller than the sum of its proper divisors (148173449527296).

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

49738640523264 is an frugal number, since it uses more digits than its factorization.

49738640523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 49738640523264 in words is "forty-nine trillion, seven hundred thirty-eight billion, six hundred forty million, five hundred twenty-three thousand, two hundred sixty-four".