10948388544 has 336 divisors, whose sum is σ = 35109302400. Its totient is φ = 3336215040.

The previous prime is 10948388537. The next prime is 10948388567. The reversal of 10948388544 is 44588384901.

It is a happy number.

10948388544 is a `hidden beast` number, since 1 + 0 + 94 + 8 + 3 + 8 + 8 + 544 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31551379 + ... + 31551725.

Almost surely, 2^10948388544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10948388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554651200).

10948388544 is an abundant number, since it is smaller than the sum of its proper divisors (24160913856).

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

10948388544 is a wasteful number, since it uses less digits than its factorization.

10948388544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10948388544 in words is "ten billion, nine hundred forty-eight million, three hundred eighty-eight thousand, five hundred forty-four".