462428311193856 has 432 divisors, whose sum is σ = 1605019715353600. Its totient is φ = 127860355768320.

The previous prime is 462428311193819. The next prime is 462428311193867. The reversal of 462428311193856 is 658391113824264.

It is a happy number.

462428311193856 is a `hidden beast` number, since 4 + 6 + 2 + 428 + 3 + 11 + 193 + 8 + 5 + 6 = 666.

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 = 462428311193793 and 462428311193802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15060516 + ... + 33936348.

Almost surely, 2^{462428311193856} 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 462428311193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802509857676800).

462428311193856 is an abundant number, since it is smaller than the sum of its proper divisors (1142591404159744).

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

462428311193856 is a wasteful number, since it uses less digits than its factorization.

462428311193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18875907 (or 18875876 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 462428311193856 in words is "four hundred sixty-two trillion, four hundred twenty-eight billion, three hundred eleven million, one hundred ninety-three thousand, eight hundred fifty-six".