146922213274320 has 160 divisors (see below), whose sum is σ = 497746746883584. Its totient is φ = 35554242112000.

The previous prime is 146922213274259. The next prime is 146922213274351. The reversal of 146922213274320 is 23472312229641.

It is a super-2 number, since 2×146922213274320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146922213274320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47938506 + ... + 50911145.

Almost surely, 2^{146922213274320} is an apocalyptic number.

146922213274320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146922213274320 is an abundant number, since it is smaller than the sum of its proper divisors (350824533609264).

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

146922213274320 is a wasteful number, since it uses less digits than its factorization.

146922213274320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98850241 (or 98850235 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 146922213274320 in words is "one hundred forty-six trillion, nine hundred twenty-two billion, two hundred thirteen million, two hundred seventy-four thousand, three hundred twenty".