149449267968000 has 3072 divisors, whose sum is σ = 689277008609280. Its totient is φ = 27736473600000.

The previous prime is 149449267967999. The next prime is 149449267968029. The reversal of 149449267968000 is 869762944941.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23831804865 + ... + 23831811135.

It is an arithmetic number, because the mean of its divisors is an integer number (224374026240).

Almost surely, 2^{149449267968000} is an apocalyptic number.

149449267968000 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 149449267968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344638504304640).

149449267968000 is an abundant number, since it is smaller than the sum of its proper divisors (539827740641280).

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

149449267968000 is a wasteful number, since it uses less digits than its factorization.

149449267968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 149449267968000 in words is "one hundred forty-nine trillion, four hundred forty-nine billion, two hundred sixty-seven million, nine hundred sixty-eight thousand".