13475653646400 has 1701 divisors, whose sum is σ = 55203598998093. Its totient is φ = 3235108377600.

The previous prime is 13475653646369. The next prime is 13475653646401. The reversal of 13475653646400 is 464635657431.

The square root of 13475653646400 is 3670920.

It is a perfect power (a square), and thus also a powerful number.

13475653646400 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 565 + 36 + 4 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4851235312704 + 8624418333696 = 2202552^2 + 2936736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13475653646401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 130831588749 + ... + 130831588851.

Almost surely, 2^{13475653646400} is an apocalyptic number.

13475653646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13475653646400 is the 3670920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13475653646400

13475653646400 is an abundant number, since it is smaller than the sum of its proper divisors (41727945351693).

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

13475653646400 is an frugal number, since it uses more digits than its factorization.

13475653646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 13475653646400 in words is "thirteen trillion, four hundred seventy-five billion, six hundred fifty-three million, six hundred forty-six thousand, four hundred".