148997768092992 has 4480 divisors, whose sum is σ = 614516740992000. Its totient is φ = 35332885905408.

The previous prime is 148997768092969. The next prime is 148997768093063. The reversal of 148997768092992 is 299290867799841.

148997768092992 is a `hidden beast` number, since 14 + 89 + 97 + 76 + 80 + 9 + 299 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 861258775018 + ... + 861258775190.

It is an arithmetic number, because the mean of its divisors is an integer number (137168915400).

Almost surely, 2^{148997768092992} is an apocalyptic number.

148997768092992 is a gapful number since it is divisible by the number (12) 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 148997768092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307258370496000).

148997768092992 is an abundant number, since it is smaller than the sum of its proper divisors (465518972899008).

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

148997768092992 is a wasteful number, since it uses less digits than its factorization.

148997768092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 17777055744, while the sum is 90.

The spelling of 148997768092992 in words is "one hundred forty-eight trillion, nine hundred ninety-seven billion, seven hundred sixty-eight million, ninety-two thousand, nine hundred ninety-two".