10357974144 has 384 divisors, whose sum is σ = 35723076480. Its totient is φ = 2926264320.

The previous prime is 10357974131. The next prime is 10357974157. The reversal of 10357974144 is 44147975301.

It is a happy number.

10357974144 is a `hidden beast` number, since 1 + 0 + 3 + 579 + 74 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10357974131) and next prime (10357974157).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10357974144³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10357974144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24603054 + ... + 24603474.

It is an arithmetic number, because the mean of its divisors is an integer number (93028845).

Almost surely, 2^10357974144 is an apocalyptic number.

10357974144 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 10357974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861538240).

10357974144 is an abundant number, since it is smaller than the sum of its proper divisors (25365102336).

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

10357974144 is an equidigital number, since it uses as much as digits as its factorization.

10357974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10357974144 in words is "ten billion, three hundred fifty-seven million, nine hundred seventy-four thousand, one hundred forty-four".