10144761504 has 48 divisors (see below), whose sum is σ = 28031582880. Its totient is φ = 3203608320.

The previous prime is 10144761481. The next prime is 10144761533. The reversal of 10144761504 is 40516744101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10144761504³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2779087 + ... + 2782734.

It is an arithmetic number, because the mean of its divisors is an integer number (583991310).

Almost surely, 2^10144761504 is an apocalyptic number.

It is an amenable number.

10144761504 is an abundant number, since it is smaller than the sum of its proper divisors (17886821376).

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

10144761504 is a wasteful number, since it uses less digits than its factorization.

10144761504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561853 (or 5561845 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10144761504 in words is "ten billion, one hundred forty-four million, seven hundred sixty-one thousand, five hundred four".