44646905221632 has 1920 divisors, whose sum is σ = 162372236083200. Its totient is φ = 11529815851008.

The previous prime is 44646905221627. The next prime is 44646905221637. The reversal of 44646905221632 is 23612250964644.

44646905221632 is a `hidden beast` number, since 4 + 46 + 4 + 69 + 0 + 522 + 16 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (44646905221627) and next prime (44646905221637).

It is a super-2 number, since 2×44646905221632² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44646905221637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 325889819068 + ... + 325889819204.

It is an arithmetic number, because the mean of its divisors is an integer number (84568872960).

Almost surely, 2^{44646905221632} is an apocalyptic number.

44646905221632 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 44646905221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81186118041600).

44646905221632 is an abundant number, since it is smaller than the sum of its proper divisors (117725330861568).

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

44646905221632 is a wasteful number, since it uses less digits than its factorization.

44646905221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 44646905221632 in words is "forty-four trillion, six hundred forty-six billion, nine hundred five million, two hundred twenty-one thousand, six hundred thirty-two".