467048365894656 has 2464 divisors, whose sum is σ = 1892502276080640. Its totient is φ = 111613788684288.

The previous prime is 467048365894613. The next prime is 467048365894697. The reversal of 467048365894656 is 656498563840764.

467048365894656 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 48 + 36 + 5 + 89 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29685898566 + ... + 29685914298.

Almost surely, 2^{467048365894656} is an apocalyptic number.

467048365894656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467048365894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946251138040320).

467048365894656 is an abundant number, since it is smaller than the sum of its proper divisors (1425453910185984).

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

467048365894656 is a wasteful number, since it uses less digits than its factorization.

467048365894656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 25082265600, while the sum is 81.

The spelling of 467048365894656 in words is "four hundred sixty-seven trillion, forty-eight billion, three hundred sixty-five million, eight hundred ninety-four thousand, six hundred fifty-six".