149397042816 has 320 divisors, whose sum is σ = 508980130560. Its totient is φ = 42612480000.

The previous prime is 149397042721. The next prime is 149397042853. The reversal of 149397042816 is 618240793941.

149397042816 is a `hidden beast` number, since 1 + 493 + 9 + 70 + 4 + 2 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54503206 + ... + 54505946.

It is an arithmetic number, because the mean of its divisors is an integer number (1590562908).

Almost surely, 2^149397042816 is an apocalyptic number.

149397042816 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 149397042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254490065280).

149397042816 is an abundant number, since it is smaller than the sum of its proper divisors (359583087744).

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

149397042816 is an equidigital number, since it uses as much as digits as its factorization.

149397042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 149397042816 in words is "one hundred forty-nine billion, three hundred ninety-seven million, forty-two thousand, eight hundred sixteen".