149148468882000 has 1600 divisors, whose sum is σ = 653404850841600. Its totient is φ = 32012402688000.

The previous prime is 149148468881911. The next prime is 149148468882001. The reversal of 149148468882000 is 288864841941.

149148468882000 is a `hidden beast` number, since 1 + 4 + 9 + 148 + 468 + 8 + 8 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149148468882001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8655813385 + ... + 8655830615.

It is an arithmetic number, because the mean of its divisors is an integer number (408378031776).

Almost surely, 2^{149148468882000} is an apocalyptic number.

149148468882000 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 149148468882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326702425420800).

149148468882000 is an abundant number, since it is smaller than the sum of its proper divisors (504256381959600).

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

149148468882000 is a wasteful number, since it uses less digits than its factorization.

149148468882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 149148468882000 in words is "one hundred forty-nine trillion, one hundred forty-eight billion, four hundred sixty-eight million, eight hundred eighty-two thousand".