13613952000 has 528 divisors, whose sum is σ = 49946079456. Its totient is φ = 3289088000.

The previous prime is 13613951983. The next prime is 13613952041. The reversal of 13613952000 is 25931631.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 46463854 + ... + 46464146.

Almost surely, 2^13613952000 is an apocalyptic number.

13613952000 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 13613952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24973039728).

13613952000 is an abundant number, since it is smaller than the sum of its proper divisors (36332127456).

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

13613952000 is a wasteful number, since it uses less digits than its factorization.

13613952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 13613952000 in words is "thirteen billion, six hundred thirteen million, nine hundred fifty-two thousand".