148668005376 has 528 divisors, whose sum is σ = 492984741600. Its totient is φ = 42732748800.

The previous prime is 148668005357. The next prime is 148668005401. The reversal of 148668005376 is 673500866841.

148668005376 is a `hidden beast` number, since 1 + 48 + 6 + 68 + 0 + 0 + 537 + 6 = 666.

148668005376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×148668005376³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179333730 + ... + 179334558.

Almost surely, 2^148668005376 is an apocalyptic number.

148668005376 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 148668005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246492370800).

148668005376 is an abundant number, since it is smaller than the sum of its proper divisors (344316736224).

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

148668005376 is a wasteful number, since it uses less digits than its factorization.

148668005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 148668005376 in words is "one hundred forty-eight billion, six hundred sixty-eight million, five thousand, three hundred seventy-six".