1413102470688 has 192 divisors, whose sum is σ = 4301869824000. Its totient is φ = 450436757760.

The previous prime is 1413102470683. The next prime is 1413102470701. The reversal of 1413102470688 is 8860742013141.

1413102470688 is a `hidden beast` number, since 1 + 4 + 13 + 102 + 470 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1413102470683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107282343 + ... + 107295513.

It is an arithmetic number, because the mean of its divisors is an integer number (22405572000).

Almost surely, 2^{1413102470688} is an apocalyptic number.

1413102470688 is a gapful number since it is divisible by the number (18) 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 1413102470688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150934912000).

1413102470688 is an abundant number, since it is smaller than the sum of its proper divisors (2888767353312).

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

1413102470688 is a wasteful number, since it uses less digits than its factorization.

1413102470688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18612 (or 18598 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1413102470688 in words is "one trillion, four hundred thirteen billion, one hundred two million, four hundred seventy thousand, six hundred eighty-eight".