149623146086400 has 4080 divisors, whose sum is σ = 684373070832000. Its totient is φ = 32212317634560.

The previous prime is 149623146086321. The next prime is 149623146086411. The reversal of 149623146086400 is 4680641326941.

149623146086400 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 23 + 1 + 4 + 608 + 6 + 4 + 0 + 0 = 666.

149623146086400 is digitally balanced in base 3, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 864873676714 + ... + 864873676886.

Almost surely, 2^{149623146086400} is an apocalyptic number.

149623146086400 is a gapful number since it is divisible by the number (10) 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 149623146086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342186535416000).

149623146086400 is an abundant number, since it is smaller than the sum of its proper divisors (534749924745600).

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

149623146086400 is an frugal number, since it uses more digits than its factorization.

149623146086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 149623146086400 in words is "one hundred forty-nine trillion, six hundred twenty-three billion, one hundred forty-six million, eighty-six thousand, four hundred".