10446151680 has 336 divisors, whose sum is σ = 37109460960. Its totient is φ = 2716729344.

The previous prime is 10446151669. The next prime is 10446151693. The reversal of 10446151680 is 8615164401.

10446151680 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 61 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15851191 + ... + 15851849.

Almost surely, 2^10446151680 is an apocalyptic number.

10446151680 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 10446151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18554730480).

10446151680 is an abundant number, since it is smaller than the sum of its proper divisors (26663309280).

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

10446151680 is an equidigital number, since it uses as much as digits as its factorization.

10446151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10446151680 in words is "ten billion, four hundred forty-six million, one hundred fifty-one thousand, six hundred eighty".