13690148000400 has 135 divisors (see below), whose sum is σ = 47509386798601. Its totient is φ = 3650646933120.

The previous prime is 13690148000381. The next prime is 13690148000479. The reversal of 13690148000400 is 400084109631.

The square root of 13690148000400 is 3700020.

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

13690148000400 is a `hidden beast` number, since 136 + 9 + 0 + 1 + 480 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4928453280144 + 8761694720256 = 2220012^2 + 2960016^2 .

It is a super-2 number, since 2×13690148000400² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 221970367 + ... + 222032033.

Almost surely, 2^{13690148000400} is an apocalyptic number.

13690148000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13690148000400 is the 3700020-th square number.

It is an amenable number.

13690148000400 is an abundant number, since it is smaller than the sum of its proper divisors (33819238798201).

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

13690148000400 is an frugal number, since it uses more digits than its factorization.

13690148000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123358 (or 61677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 13690148000400 by its sum of digits (36), we get a square (492845328014400 = 22200120²).

13690148000400 divided by its sum of digits (36) gives a square (380281888900 = 616670²).

The spelling of 13690148000400 in words is "thirteen trillion, six hundred ninety billion, one hundred forty-eight million, four hundred", and thus it is an aban number.