130706891406 has 384 divisors, whose sum is σ = 397086842880. Its totient is φ = 31233299328.

The previous prime is 130706891377. The next prime is 130706891449. The reversal of 130706891406 is 604198607031.

It is a happy number.

130706891406 is a `hidden beast` number, since 1 + 30 + 70 + 68 + 91 + 406 = 666.

It is a super-2 number, since 2×130706891406² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19323381 + ... + 19330143.

It is an arithmetic number, because the mean of its divisors is an integer number (1034080320).

Almost surely, 2^130706891406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130706891406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198543421440).

130706891406 is an abundant number, since it is smaller than the sum of its proper divisors (266379951474).

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

130706891406 is a wasteful number, since it uses less digits than its factorization.

130706891406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 130706891406 in words is "one hundred thirty billion, seven hundred six million, eight hundred ninety-one thousand, four hundred six".