146463540256 has 192 divisors, whose sum is σ = 338506076160. Its totient is φ = 61641216000.

The previous prime is 146463540233. The next prime is 146463540281. The reversal of 146463540256 is 652045364641.

It is a super-3 number, since 3×146463540256³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232113061 + ... + 232113691.

It is an arithmetic number, because the mean of its divisors is an integer number (1763052480).

Almost surely, 2^146463540256 is an apocalyptic number.

146463540256 is a gapful number since it is divisible by the number (16) 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 146463540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169253038080).

146463540256 is an abundant number, since it is smaller than the sum of its proper divisors (192042535904).

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

146463540256 is a wasteful number, since it uses less digits than its factorization.

146463540256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 146463540256 in words is "one hundred forty-six billion, four hundred sixty-three million, five hundred forty thousand, two hundred fifty-six".