13746001374000 has 320 divisors, whose sum is σ = 56275694791680. Its totient is φ = 3141943084800.

The previous prime is 13746001373947. The next prime is 13746001374029. The reversal of 13746001374000 is 47310064731.

13746001374000 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 600 + 1 + 3 + 7 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17804542 + ... + 18560541.

It is an arithmetic number, because the mean of its divisors is an integer number (175861546224).

Almost surely, 2^{13746001374000} is an apocalyptic number.

13746001374000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746001374000 is an abundant number, since it is smaller than the sum of its proper divisors (42529693417680).

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

13746001374000 is a wasteful number, since it uses less digits than its factorization.

13746001374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36365122 (or 36365100 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13746001374000 in words is "thirteen trillion, seven hundred forty-six billion, one million, three hundred seventy-four thousand".