149495046188544 has 960 divisors, whose sum is σ = 504664749388800. Its totient is φ = 41724181610496.

The previous prime is 149495046188497. The next prime is 149495046188563. The reversal of 149495046188544 is 445881640594941.

149495046188544 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 9 + 504 + 61 + 8 + 8 + 54 + 4 = 666.

149495046188544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201204637837 + ... + 201204638579.

It is an arithmetic number, because the mean of its divisors is an integer number (525692447280).

Almost surely, 2^{149495046188544} is an apocalyptic number.

149495046188544 is a gapful number since it is divisible by the number (14) 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 149495046188544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252332374694400).

149495046188544 is an abundant number, since it is smaller than the sum of its proper divisors (355169703200256).

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

149495046188544 is a wasteful number, since it uses less digits than its factorization.

149495046188544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 149495046188544 in words is "one hundred forty-nine trillion, four hundred ninety-five billion, forty-six million, one hundred eighty-eight thousand, five hundred forty-four".