10457574624 has 144 divisors (see below), whose sum is σ = 34905937248. Its totient is φ = 2907104256.

The previous prime is 10457574623. The next prime is 10457574649. The reversal of 10457574624 is 42647575401.

10457574624 is a `hidden beast` number, since 1 + 0 + 4 + 57 + 574 + 6 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 10457574624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457574623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4494 + ... + 144690.

It is an arithmetic number, because the mean of its divisors is an integer number (242402342).

Almost surely, 2^10457574624 is an apocalyptic number.

10457574624 is a gapful number since it is divisible by the number (14) 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 10457574624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452968624).

10457574624 is an abundant number, since it is smaller than the sum of its proper divisors (24448362624).

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

10457574624 is a wasteful number, since it uses less digits than its factorization.

10457574624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140257 (or 140246 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 10457574624 in words is "ten billion, four hundred fifty-seven million, five hundred seventy-four thousand, six hundred twenty-four".