46028409957504 has 1536 divisors, whose sum is σ = 164373699409920. Its totient is φ = 12684460032000.

The previous prime is 46028409957503. The next prime is 46028409957553. The reversal of 46028409957504 is 40575990482064.

46028409957504 is a `hidden beast` number, since 4 + 60 + 28 + 40 + 9 + 9 + 5 + 7 + 504 = 666.

It is a super-2 number, since 2×46028409957504² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46028409957503) 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, 12998701974 + ... + 12998705514.

It is an arithmetic number, because the mean of its divisors is an integer number (107014127220).

Almost surely, 2^{46028409957504} 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 46028409957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82186849704960).

46028409957504 is an abundant number, since it is smaller than the sum of its proper divisors (118345289452416).

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

46028409957504 is a wasteful number, since it uses less digits than its factorization.

46028409957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 46028409957504 in words is "forty-six trillion, twenty-eight billion, four hundred nine million, nine hundred fifty-seven thousand, five hundred four".