13151890458000 has 560 divisors, whose sum is σ = 54491579565696. Its totient is φ = 3006144057600.

The previous prime is 13151890457977. The next prime is 13151890458011. The reversal of 13151890458000 is 85409815131.

13151890458000 is a `hidden beast` number, since 1 + 3 + 1 + 518 + 90 + 45 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×13151890458000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9561679 + ... + 10850321.

Almost surely, 2^{13151890458000} is an apocalyptic number.

13151890458000 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 13151890458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27245789782848).

13151890458000 is an abundant number, since it is smaller than the sum of its proper divisors (41339689107696).

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

13151890458000 is an equidigital number, since it uses as much as digits as its factorization.

13151890458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288691 (or 1288660 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 13151890458000 in words is "thirteen trillion, one hundred fifty-one billion, eight hundred ninety million, four hundred fifty-eight thousand".