49924647993024 has 672 divisors, whose sum is σ = 170349979238400. Its totient is φ = 13679083837440.

The previous prime is 49924647993023. The next prime is 49924647993029. The reversal of 49924647993024 is 42039974642994.

It is a happy number.

49924647993024 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 46 + 479 + 93 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×49924647993024² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49924647993023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20302824307 + ... + 20302826765.

Almost surely, 2^{49924647993024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49924647993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85174989619200).

49924647993024 is an abundant number, since it is smaller than the sum of its proper divisors (120425331245376).

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

49924647993024 is a wasteful number, since it uses less digits than its factorization.

49924647993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 49924647993024 in words is "forty-nine trillion, nine hundred twenty-four billion, six hundred forty-seven million, nine hundred ninety-three thousand, twenty-four".