46809474645024 has 1920 divisors, whose sum is σ = 177157017354240. Its totient is φ = 11797192802304.

The previous prime is 46809474645023. The next prime is 46809474645041. The reversal of 46809474645024 is 42054647490864.

46809474645024 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 94 + 74 + 6 + 450 + 24 = 666.

It is a Cunningham number, because it is equal to 6841745²-1.

It is a super-2 number, since 2×46809474645024² (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 not an unprimeable number, because it can be changed into a prime (46809474645023) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 174012916762 + ... + 174012917030.

It is an arithmetic number, because the mean of its divisors is an integer number (92269279872).

Almost surely, 2^{46809474645024} 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 46809474645024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88578508677120).

46809474645024 is an abundant number, since it is smaller than the sum of its proper divisors (130347542709216).

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

46809474645024 is a wasteful number, since it uses less digits than its factorization.

46809474645024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 46809474645024 in words is "forty-six trillion, eight hundred nine billion, four hundred seventy-four million, six hundred forty-five thousand, twenty-four".