148238366566400 has 288 divisors, whose sum is σ = 401070439224000. Its totient is φ = 53889240268800.

The previous prime is 148238366566363. The next prime is 148238366566417. The reversal of 148238366566400 is 4665663832841.

It is a super-2 number, since 2×148238366566400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2040437276 + ... + 2040509924.

It is an arithmetic number, because the mean of its divisors is an integer number (1392605691750).

Almost surely, 2^{148238366566400} is an apocalyptic number.

148238366566400 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 148238366566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200535219612000).

148238366566400 is an abundant number, since it is smaller than the sum of its proper divisors (252832072657600).

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

148238366566400 is a wasteful number, since it uses less digits than its factorization.

148238366566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76315 (or 76290 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 62.

The spelling of 148238366566400 in words is "one hundred forty-eight trillion, two hundred thirty-eight billion, three hundred sixty-six million, five hundred sixty-six thousand, four hundred".