149395493016000 has 2688 divisors, whose sum is σ = 692272894709760. Its totient is φ = 30875074560000.

The previous prime is 149395493015957. The next prime is 149395493016109. The reversal of 149395493016000 is 610394593941.

It is a happy number.

149395493016000 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 9 + 549 + 30 + 1 + 60 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35309733885 + ... + 35309738115.

It is an arithmetic number, because the mean of its divisors is an integer number (257541999520).

Almost surely, 2^{149395493016000} is an apocalyptic number.

149395493016000 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 149395493016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346136447354880).

149395493016000 is an abundant number, since it is smaller than the sum of its proper divisors (542877401693760).

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

149395493016000 is a wasteful number, since it uses less digits than its factorization.

149395493016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 149395493016000 in words is "one hundred forty-nine trillion, three hundred ninety-five billion, four hundred ninety-three million, sixteen thousand".