146064654972 has 96 divisors (see below), whose sum is σ = 381898540800. Its totient is φ = 48276720576.

The previous prime is 146064654971. The next prime is 146064654991. The reversal of 146064654972 is 279456460641.

146064654972 is a `hidden beast` number, since 1 + 460 + 6 + 46 + 54 + 97 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146064654971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7070923 + ... + 7091549.

It is an arithmetic number, because the mean of its divisors is an integer number (3978109800).

Almost surely, 2^146064654972 is an apocalyptic number.

146064654972 is a gapful number since it is divisible by the number (12) 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 146064654972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190949270400).

146064654972 is an abundant number, since it is smaller than the sum of its proper divisors (235833885828).

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

146064654972 is a wasteful number, since it uses less digits than its factorization.

146064654972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21192 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 146064654972 in words is "one hundred forty-six billion, sixty-four million, six hundred fifty-four thousand, nine hundred seventy-two".