13616948907972 has 192 divisors, whose sum is σ = 35687282400000. Its totient is φ = 4489919299584.

The previous prime is 13616948907971. The next prime is 13616948907983. The reversal of 13616948907972 is 27970984961631.

13616948907972 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 9 + 489 + 0 + 79 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13616948907972.

It is not an unprimeable number, because it can be changed into a prime (13616948907971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4953417654 + ... + 4953420402.

It is an arithmetic number, because the mean of its divisors is an integer number (185871262500).

Almost surely, 2^{13616948907972} is an apocalyptic number.

13616948907972 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 13616948907972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843641200000).

13616948907972 is an abundant number, since it is smaller than the sum of its proper divisors (22070333492028).

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

13616948907972 is a wasteful number, since it uses less digits than its factorization.

13616948907972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 13616948907972 in words is "thirteen trillion, six hundred sixteen billion, nine hundred forty-eight million, nine hundred seven thousand, nine hundred seventy-two".