10974629952 has 448 divisors, whose sum is σ = 39572305920. Its totient is φ = 2934835200.

The previous prime is 10974629927. The next prime is 10974629959. The reversal of 10974629952 is 25992647901.

10974629952 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 4 + 629 + 9 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10974629959) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5682427 + ... + 5684357.

It is an arithmetic number, because the mean of its divisors is an integer number (88331040).

Almost surely, 2^10974629952 is an apocalyptic number.

10974629952 is a gapful number since it is divisible by the number (12) 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 10974629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786152960).

10974629952 is an abundant number, since it is smaller than the sum of its proper divisors (28597675968).

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

10974629952 is a wasteful number, since it uses less digits than its factorization.

10974629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10974629952 in words is "ten billion, nine hundred seventy-four million, six hundred twenty-nine thousand, nine hundred fifty-two".