146457347664 has 240 divisors, whose sum is σ = 421454275200. Its totient is φ = 43731173376.

The previous prime is 146457347657. The next prime is 146457347681. The reversal of 146457347664 is 466743754641.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35468352 + ... + 35472480.

It is an arithmetic number, because the mean of its divisors is an integer number (1756059480).

Almost surely, 2^146457347664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146457347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210727137600).

146457347664 is an abundant number, since it is smaller than the sum of its proper divisors (274996927536).

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

146457347664 is a wasteful number, since it uses less digits than its factorization.

146457347664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4265 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 57.

The spelling of 146457347664 in words is "one hundred forty-six billion, four hundred fifty-seven million, three hundred forty-seven thousand, six hundred sixty-four".