149557642416 has 1440 divisors, whose sum is σ = 594711936000. Its totient is φ = 34871316480.

The previous prime is 149557642411. The next prime is 149557642417. The reversal of 149557642416 is 614246755941.

149557642416 is a `hidden beast` number, since 1 + 4 + 9 + 557 + 6 + 42 + 41 + 6 = 666.

Its product of digits (7257600) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149557642411) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3647747356 + ... + 3647747396.

It is an arithmetic number, because the mean of its divisors is an integer number (412994400).

Almost surely, 2^149557642416 is an apocalyptic number.

149557642416 is a gapful number since it is divisible by the number (16) 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 149557642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297355968000).

149557642416 is an abundant number, since it is smaller than the sum of its proper divisors (445154293584).

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

149557642416 is a wasteful number, since it uses less digits than its factorization.

149557642416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 149557642416 in words is "one hundred forty-nine billion, five hundred fifty-seven million, six hundred forty-two thousand, four hundred sixteen".