10047913344 has 384 divisors, whose sum is σ = 34369920000. Its totient is φ = 2815626240.

The previous prime is 10047913327. The next prime is 10047913357. The reversal of 10047913344 is 44331974001.

10047913344 is a `hidden beast` number, since 10 + 0 + 479 + 133 + 44 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10047913299 and 10047913308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23312809 + ... + 23313239.

It is an arithmetic number, because the mean of its divisors is an integer number (89505000).

Almost surely, 2^10047913344 is an apocalyptic number.

10047913344 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 10047913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

10047913344 is an abundant number, since it is smaller than the sum of its proper divisors (24322006656).

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

10047913344 is an equidigital number, since it uses as much as digits as its factorization.

10047913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10047913344 in words is "ten billion, forty-seven million, nine hundred thirteen thousand, three hundred forty-four".