464290965117000 has 4096 divisors, whose sum is σ = 1992108382617600. Its totient is φ = 97820835840000.

The previous prime is 464290965116999. The next prime is 464290965117011. The reversal of 464290965117000 is 711569092464.

464290965117000 is a `hidden beast` number, since 46 + 429 + 0 + 9 + 6 + 5 + 1 + 170 + 0 + 0 = 666.

It is a super-2 number, since 2×464290965117000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2405652668904 + ... + 2405652669096.

It is an arithmetic number, because the mean of its divisors is an integer number (486354585600).

Almost surely, 2^{464290965117000} is an apocalyptic number.

464290965117000 is a gapful number since it is divisible by the number (40) 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 464290965117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996054191308800).

464290965117000 is an abundant number, since it is smaller than the sum of its proper divisors (1527817417500600).

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

464290965117000 is a wasteful number, since it uses less digits than its factorization.

464290965117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 464290965117000 in words is "four hundred sixty-four trillion, two hundred ninety billion, nine hundred sixty-five million, one hundred seventeen thousand".