146701344414420 has 120 divisors (see below), whose sum is σ = 461489467824000. Its totient is φ = 39011387997888.

The previous prime is 146701344414347. The next prime is 146701344414437. The reversal of 146701344414420 is 24414443107641.

146701344414420 is a `hidden beast` number, since 1 + 4 + 6 + 70 + 134 + 4 + 4 + 1 + 442 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125541520 + ... + 126704679.

It is an arithmetic number, because the mean of its divisors is an integer number (3845745565200).

Almost surely, 2^{146701344414420} is an apocalyptic number.

146701344414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146701344414420 is an abundant number, since it is smaller than the sum of its proper divisors (314788123409580).

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

146701344414420 is a wasteful number, since it uses less digits than its factorization.

146701344414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252246579 (or 252246568 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 146701344414420 in words is "one hundred forty-six trillion, seven hundred one billion, three hundred forty-four million, four hundred fourteen thousand, four hundred twenty".