13949504553600 has 4320 divisors, whose sum is σ = 68306910695100. Its totient is φ = 2789705318400.

The previous prime is 13949504553547. The next prime is 13949504553643. The reversal of 13949504553600 is 635540594931.

13949504553600 is a `hidden beast` number, since 1 + 3 + 9 + 495 + 0 + 45 + 53 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1241762550336 + 12707742003264 = 1114344^2 + 3564792^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 44567107044 + ... + 44567107356.

Almost surely, 2^{13949504553600} is an apocalyptic number.

13949504553600 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 13949504553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34153455347550).

13949504553600 is an abundant number, since it is smaller than the sum of its proper divisors (54357406141500).

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

13949504553600 is a wasteful number, since it uses less digits than its factorization.

13949504553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 13949504553600 in words is "thirteen trillion, nine hundred forty-nine billion, five hundred four million, five hundred fifty-three thousand, six hundred".