46242468864 has 352 divisors, whose sum is σ = 142662471680. Its totient is φ = 14780620800.

The previous prime is 46242468863. The next prime is 46242468887. The reversal of 46242468864 is 46886424264.

46242468864 is a `hidden beast` number, since 4 + 62 + 42 + 468 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46242468864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46242468863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139705179 + ... + 139705509.

Almost surely, 2^46242468864 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 46242468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71331235840).

46242468864 is an abundant number, since it is smaller than the sum of its proper divisors (96420002816).

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

46242468864 is a wasteful number, since it uses less digits than its factorization.

46242468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 530 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 46242468864 in words is "forty-six billion, two hundred forty-two million, four hundred sixty-eight thousand, eight hundred sixty-four".