146848564440 has 480 divisors, whose sum is σ = 516270245040. Its totient is φ = 37564611840.

The previous prime is 146848564397. The next prime is 146848564453. The reversal of 146848564440 is 44465848641.

146848564440 is a `hidden beast` number, since 1 + 4 + 68 + 4 + 85 + 64 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2068289605 + ... + 2068289675.

Almost surely, 2^146848564440 is an apocalyptic number.

146848564440 is a gapful number since it is divisible by the number (10) 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 146848564440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258135122520).

146848564440 is an abundant number, since it is smaller than the sum of its proper divisors (369421680600).

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

146848564440 is an frugal number, since it uses more digits than its factorization.

146848564440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 146848564440 in words is "one hundred forty-six billion, eight hundred forty-eight million, five hundred sixty-four thousand, four hundred forty".