456769043136 has 448 divisors, whose sum is σ = 1552373222400. Its totient is φ = 129007116288.

The previous prime is 456769043123. The next prime is 456769043173. The reversal of 456769043136 is 631340967654.

456769043136 is a `hidden beast` number, since 4 + 56 + 76 + 90 + 431 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532985620 + ... + 532986476.

It is an arithmetic number, because the mean of its divisors is an integer number (3465118800).

Almost surely, 2^456769043136 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 456769043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776186611200).

456769043136 is an abundant number, since it is smaller than the sum of its proper divisors (1095604179264).

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

456769043136 is a wasteful number, since it uses less digits than its factorization.

456769043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 456769043136 in words is "four hundred fifty-six billion, seven hundred sixty-nine million, forty-three thousand, one hundred thirty-six".