46288645956 has 162 divisors, whose sum is σ = 143653394430. Its totient is φ = 12529085184.

The previous prime is 46288645951. The next prime is 46288645957. The reversal of 46288645956 is 65954688264.

46288645956 is a `hidden beast` number, since 462 + 8 + 86 + 4 + 5 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29986463556 + 16302182400 = 173166^2 + 127680^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46288645893 and 46288645902.

It is not an unprimeable number, because it can be changed into a prime (46288645951) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 600460 + ... + 673148.

Almost surely, 2^46288645956 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 46288645956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71826697215).

46288645956 is an abundant number, since it is smaller than the sum of its proper divisors (97364748474).

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

46288645956 is a wasteful number, since it uses less digits than its factorization.

46288645956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72751 (or 72720 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 46288645956 in words is "forty-six billion, two hundred eighty-eight million, six hundred forty-five thousand, nine hundred fifty-six".