149466755890368 has 336 divisors, whose sum is σ = 506040060897280. Its totient is φ = 41276227276800.

The previous prime is 149466755890351. The next prime is 149466755890373. The reversal of 149466755890368 is 863098557664941.

149466755890368 is a `hidden beast` number, since 1 + 4 + 9 + 466 + 7 + 5 + 5 + 8 + 90 + 3 + 68 = 666.

149466755890368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×149466755890368² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100631268 + ... + 102105756.

Almost surely, 2^{149466755890368} is an apocalyptic number.

149466755890368 is a gapful number since it is divisible by the number (18) 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 149466755890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253020030448640).

149466755890368 is an abundant number, since it is smaller than the sum of its proper divisors (356573305006912).

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

149466755890368 is a wasteful number, since it uses less digits than its factorization.

149466755890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475356 (or 1475343 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 149466755890368 in words is "one hundred forty-nine trillion, four hundred sixty-six billion, seven hundred fifty-five million, eight hundred ninety thousand, three hundred sixty-eight".