148409460864 has 768 divisors, whose sum is σ = 537698304000. Its totient is φ = 38334062592.

The previous prime is 148409460809. The next prime is 148409460919. The reversal of 148409460864 is 468064904841.

It is an interprime number because it is at equal distance from previous prime (148409460809) and next prime (148409460919).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148409460864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564294397 + ... + 564294659.

It is an arithmetic number, because the mean of its divisors is an integer number (700128000).

Almost surely, 2^148409460864 is an apocalyptic number.

148409460864 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 148409460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268849152000).

148409460864 is an abundant number, since it is smaller than the sum of its proper divisors (389288843136).

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

148409460864 is a wasteful number, since it uses less digits than its factorization.

148409460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 148409460864 in words is "one hundred forty-eight billion, four hundred nine million, four hundred sixty thousand, eight hundred sixty-four".