14949576363960 has 640 divisors, whose sum is σ = 60379564924800. Its totient is φ = 3245122621440.

The previous prime is 14949576363881. The next prime is 14949576363961. The reversal of 14949576363960 is 6936367594941.

14949576363960 is a `hidden beast` number, since 1 + 4 + 9 + 49 + 576 + 3 + 6 + 3 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14949576363961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39934614 + ... + 40307226.

It is an arithmetic number, because the mean of its divisors is an integer number (94343070195).

Almost surely, 2^{14949576363960} is an apocalyptic number.

14949576363960 is a gapful number since it is divisible by the number (10) 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 14949576363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30189782462400).

14949576363960 is an abundant number, since it is smaller than the sum of its proper divisors (45429988560840).

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

14949576363960 is a wasteful number, since it uses less digits than its factorization.

14949576363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372733 (or 372720 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 14949576363960 in words is "fourteen trillion, nine hundred forty-nine billion, five hundred seventy-six million, three hundred sixty-three thousand, nine hundred sixty".