10344618972 has 96 divisors (see below), whose sum is σ = 27447920640. Its totient is φ = 3367707840.

The previous prime is 10344618959. The next prime is 10344619049. The reversal of 10344618972 is 27981644301.

10344618972 is a `hidden beast` number, since 10 + 34 + 461 + 89 + 72 = 666.

It is a super-2 number, since 2×10344618972² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2744233 + ... + 2747999.

It is an arithmetic number, because the mean of its divisors is an integer number (285915840).

Almost surely, 2^10344618972 is an apocalyptic number.

10344618972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 101708×101709.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344618972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723960320).

10344618972 is an abundant number, since it is smaller than the sum of its proper divisors (17103301668).

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

10344618972 is a wasteful number, since it uses less digits than its factorization.

10344618972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10344618972 in words is "ten billion, three hundred forty-four million, six hundred eighteen thousand, nine hundred seventy-two".