146271694464 has 384 divisors, whose sum is σ = 503313108480. Its totient is φ = 39900856320.

The previous prime is 146271694409. The next prime is 146271694477. The reversal of 146271694464 is 464496172641.

146271694464 is a `hidden beast` number, since 1 + 4 + 627 + 1 + 6 + 9 + 4 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146271694464.

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, 15534622 + ... + 15544034.

It is an arithmetic number, because the mean of its divisors is an integer number (1310711220).

Almost surely, 2^146271694464 is an apocalyptic number.

146271694464 is a gapful number since it is divisible by the number (14) 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 146271694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251656554240).

146271694464 is an abundant number, since it is smaller than the sum of its proper divisors (357041414016).

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

146271694464 is a wasteful number, since it uses less digits than its factorization.

146271694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9528 (or 9513 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 146271694464 in words is "one hundred forty-six billion, two hundred seventy-one million, six hundred ninety-four thousand, four hundred sixty-four".