13552995456 has 1152 divisors, whose sum is σ = 56378125440. Its totient is φ = 3065610240.

The previous prime is 13552995451. The next prime is 13552995461. The reversal of 13552995456 is 65459925531.

13552995456 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 99 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13552995451) and next prime (13552995461).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (13552995451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185657436 + ... + 185657508.

It is an arithmetic number, because the mean of its divisors is an integer number (48939345).

Almost surely, 2^13552995456 is an apocalyptic number.

13552995456 is a gapful number since it is divisible by the number (16) 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 13552995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28189062720).

13552995456 is an abundant number, since it is smaller than the sum of its proper divisors (42825129984).

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

13552995456 is a wasteful number, since it uses less digits than its factorization.

13552995456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The spelling of 13552995456 in words is "thirteen billion, five hundred fifty-two million, nine hundred ninety-five thousand, four hundred fifty-six".