160746551313000 has 2048 divisors, whose sum is σ = 581294882488320. Its totient is φ = 36771840000000.

The previous prime is 160746551312981. The next prime is 160746551313037. The reversal of 160746551313000 is 313155647061.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 281517602715 + ... + 281517603285.

It is an arithmetic number, because the mean of its divisors is an integer number (283835391840).

Almost surely, 2^{160746551313000} is an apocalyptic number.

160746551313000 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 160746551313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290647441244160).

160746551313000 is an abundant number, since it is smaller than the sum of its proper divisors (420548331175320).

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

160746551313000 is a wasteful number, since it uses less digits than its factorization.

160746551313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 160746551313000 in words is "one hundred sixty trillion, seven hundred forty-six billion, five hundred fifty-one million, three hundred thirteen thousand".