46620523620864 has 320 divisors, whose sum is σ = 138826828800000. Its totient is φ = 15447188090880.

The previous prime is 46620523620833. The next prime is 46620523620887. The reversal of 46620523620864 is 46802632502664.

46620523620864 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 0 + 5 + 2 + 3 + 620 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×46620523620864² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46620523620864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957929727 + ... + 3957941505.

It is an arithmetic number, because the mean of its divisors is an integer number (433833840000).

Almost surely, 2^{46620523620864} 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 46620523620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69413414400000).

46620523620864 is an abundant number, since it is smaller than the sum of its proper divisors (92206305179136).

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

46620523620864 is a wasteful number, since it uses less digits than its factorization.

46620523620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496 (or 13474 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 46620523620864 in words is "forty-six trillion, six hundred twenty billion, five hundred twenty-three million, six hundred twenty thousand, eight hundred sixty-four".