146579955480 has 320 divisors, whose sum is σ = 569844253440. Its totient is φ = 33099902208.

The previous prime is 146579955463. The next prime is 146579955499. The reversal of 146579955480 is 84559975641.

146579955480 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 79 + 9 + 554 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1843507 + ... + 1921373.

It is an arithmetic number, because the mean of its divisors is an integer number (1780763292).

Almost surely, 2^146579955480 is an apocalyptic number.

146579955480 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 146579955480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284922126720).

146579955480 is an abundant number, since it is smaller than the sum of its proper divisors (423264297960).

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

146579955480 is a wasteful number, since it uses less digits than its factorization.

146579955480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77980 (or 77967 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 146579955480 in words is "one hundred forty-six billion, five hundred seventy-nine million, nine hundred fifty-five thousand, four hundred eighty".