146640478464 has 144 divisors (see below), whose sum is σ = 433961640000. Its totient is φ = 48844099584.

The previous prime is 146640478451. The next prime is 146640478529. The reversal of 146640478464 is 464874046641.

It is a happy number.

146640478464 is a `hidden beast` number, since 1 + 466 + 4 + 0 + 47 + 84 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146640478464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354012 + ... + 10368164.

It is an arithmetic number, because the mean of its divisors is an integer number (3013622500).

Almost surely, 2^146640478464 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 146640478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216980820000).

146640478464 is an abundant number, since it is smaller than the sum of its proper divisors (287321161536).

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

146640478464 is a wasteful number, since it uses less digits than its factorization.

146640478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 146640478464 in words is "one hundred forty-six billion, six hundred forty million, four hundred seventy-eight thousand, four hundred sixty-four".