146814413714480 has 20 divisors (see below), whose sum is σ = 341343511886352. Its totient is φ = 58725765485760.

The previous prime is 146814413714473. The next prime is 146814413714567. The reversal of 146814413714480 is 84417314418641.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×146814413714480² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917590085636 + ... + 917590085795.

Almost surely, 2^{146814413714480} is an apocalyptic number.

146814413714480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146814413714480 is an abundant number, since it is smaller than the sum of its proper divisors (194529098171872).

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

146814413714480 is a wasteful number, since it uses less digits than its factorization.

146814413714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835180171444 (or 1835180171438 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 56.

The spelling of 146814413714480 in words is "one hundred forty-six trillion, eight hundred fourteen billion, four hundred thirteen million, seven hundred fourteen thousand, four hundred eighty".