920146106880 has 3600 divisors, whose sum is σ = 4627590815232. Its totient is φ = 170798284800.

The previous prime is 920146106857. The next prime is 920146106881. The reversal of 920146106880 is 88601641029.

920146106880 is a `hidden beast` number, since 9 + 20 + 1 + 4 + 610 + 6 + 8 + 8 + 0 = 666.

920146106880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920146106881) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 29682132465 + ... + 29682132495.

Almost surely, 2^920146106880 is an apocalyptic number.

920146106880 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 920146106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313795407616).

920146106880 is an abundant number, since it is smaller than the sum of its proper divisors (3707444708352).

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

920146106880 is a wasteful number, since it uses less digits than its factorization.

920146106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 920146106880 in words is "nine hundred twenty billion, one hundred forty-six million, one hundred six thousand, eight hundred eighty".