148531114368 has 1536 divisors, whose sum is σ = 597772224000. Its totient is φ = 35867639808.

The previous prime is 148531114357. The next prime is 148531114399. The reversal of 148531114368 is 863411135841.

148531114368 is a `hidden beast` number, since 1 + 4 + 8 + 531 + 11 + 43 + 68 = 666.

It is a super-2 number, since 2×148531114368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2216882271 + ... + 2216882337.

It is an arithmetic number, because the mean of its divisors is an integer number (389174625).

Almost surely, 2^148531114368 is an apocalyptic number.

148531114368 is a gapful number since it is divisible by the number (18) 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 148531114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298886112000).

148531114368 is an abundant number, since it is smaller than the sum of its proper divisors (449241109632).

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

148531114368 is a wasteful number, since it uses less digits than its factorization.

148531114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 148531114368 in words is "one hundred forty-eight billion, five hundred thirty-one million, one hundred fourteen thousand, three hundred sixty-eight".