148260414960 has 640 divisors, whose sum is σ = 629676840960. Its totient is φ = 31290015744.

The previous prime is 148260414959. The next prime is 148260414979. The reversal of 148260414960 is 69414062841.

148260414960 is a `hidden beast` number, since 14 + 82 + 60 + 414 + 96 + 0 = 666.

It is a super-2 number, since 2×148260414960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13617679 + ... + 13628561.

It is an arithmetic number, because the mean of its divisors is an integer number (983870064).

Almost surely, 2^148260414960 is an apocalyptic number.

148260414960 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 148260414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314838420480).

148260414960 is an abundant number, since it is smaller than the sum of its proper divisors (481416426000).

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

148260414960 is a wasteful number, since it uses less digits than its factorization.

148260414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 148260414960 in words is "one hundred forty-eight billion, two hundred sixty million, four hundred fourteen thousand, nine hundred sixty".