146991224880 has 480 divisors, whose sum is σ = 545687198784. Its totient is φ = 36643995648.

The previous prime is 146991224873. The next prime is 146991224903. The reversal of 146991224880 is 88422199641.

It is a happy number.

146991224880 is a `hidden beast` number, since 14 + 69 + 91 + 2 + 2 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 51883944 + ... + 51886776.

Almost surely, 2^146991224880 is an apocalyptic number.

146991224880 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 146991224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272843599392).

146991224880 is an abundant number, since it is smaller than the sum of its proper divisors (398695973904).

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

146991224880 is a wasteful number, since it uses less digits than its factorization.

146991224880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 146991224880 in words is "one hundred forty-six billion, nine hundred ninety-one million, two hundred twenty-four thousand, eight hundred eighty".