9146402867160 has 384 divisors, whose sum is σ = 32869584034560. Its totient is φ = 2191393382400.

The previous prime is 9146402867137. The next prime is 9146402867209. The reversal of 9146402867160 is 617682046419.

9146402867160 is a `hidden beast` number, since 9 + 14 + 6 + 402 + 8 + 67 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9146402867097 and 9146402867106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82644982 + ... + 82755578.

It is an arithmetic number, because the mean of its divisors is an integer number (85597875090).

Almost surely, 2^{9146402867160} is an apocalyptic number.

9146402867160 is a gapful number since it is divisible by the number (90) 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 9146402867160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434792017280).

9146402867160 is an abundant number, since it is smaller than the sum of its proper divisors (23723181167400).

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

9146402867160 is a wasteful number, since it uses less digits than its factorization.

9146402867160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111099 (or 111092 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9146402867160 in words is "nine trillion, one hundred forty-six billion, four hundred two million, eight hundred sixty-seven thousand, one hundred sixty".