148765661624880 has 1600 divisors, whose sum is σ = 565011711221760. Its totient is φ = 36166536806400.

The previous prime is 148765661624861. The next prime is 148765661624933. The reversal of 148765661624880 is 88426166567841.

148765661624880 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 6 + 566 + 16 + 2 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 148765661624799 and 148765661624808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 136107649614 + ... + 136107650706.

Almost surely, 2^{148765661624880} is an apocalyptic number.

148765661624880 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 148765661624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282505855610880).

148765661624880 is an abundant number, since it is smaller than the sum of its proper divisors (416246049596880).

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

148765661624880 is a wasteful number, since it uses less digits than its factorization.

148765661624880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 148765661624880 in words is "one hundred forty-eight trillion, seven hundred sixty-five billion, six hundred sixty-one million, six hundred twenty-four thousand, eight hundred eighty".