149016623616 has 480 divisors, whose sum is σ = 516402216000. Its totient is φ = 42303873024.

The previous prime is 149016623549. The next prime is 149016623653. The reversal of 149016623616 is 616326610941.

149016623616 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 1 + 6 + 6 + 23 + 616 = 666.

It is a super-3 number, since 3×149016623616³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121249690 + ... + 121250918.

It is an arithmetic number, because the mean of its divisors is an integer number (1075837950).

Almost surely, 2^149016623616 is an apocalyptic number.

149016623616 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 149016623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258201108000).

149016623616 is an abundant number, since it is smaller than the sum of its proper divisors (367385592384).

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

149016623616 is a wasteful number, since it uses less digits than its factorization.

149016623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 149016623616 in words is "one hundred forty-nine billion, sixteen million, six hundred twenty-three thousand, six hundred sixteen".