49084637357952 has 512 divisors, whose sum is σ = 174600140160000. Its totient is φ = 13261441720320.

The previous prime is 49084637357923. The next prime is 49084637357963. The reversal of 49084637357952 is 25975373648094.

It is a happy number.

49084637357952 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 46 + 3 + 7 + 3 + 579 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248570874 + ... + 248768262.

It is an arithmetic number, because the mean of its divisors is an integer number (341015898750).

Almost surely, 2^{49084637357952} is an apocalyptic number.

49084637357952 is a gapful number since it is divisible by the number (42) 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 49084637357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87300070080000).

49084637357952 is an abundant number, since it is smaller than the sum of its proper divisors (125515502802048).

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

49084637357952 is a wasteful number, since it uses less digits than its factorization.

49084637357952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197979 (or 197961 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 49084637357952 in words is "forty-nine trillion, eighty-four billion, six hundred thirty-seven million, three hundred fifty-seven thousand, nine hundred fifty-two".