149479898400 has 864 divisors, whose sum is σ = 648869719680. Its totient is φ = 31601295360.

The previous prime is 149479898389. The next prime is 149479898423. The reversal of 149479898400 is 4898974941.

It is a happy number.

149479898400 is a `hidden beast` number, since 1 + 4 + 9 + 479 + 89 + 84 + 0 + 0 = 666.

It is a super-3 number, since 3×149479898400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50549722 + ... + 50552678.

It is an arithmetic number, because the mean of its divisors is an integer number (751006620).

Almost surely, 2^149479898400 is an apocalyptic number.

149479898400 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 149479898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434859840).

149479898400 is an abundant number, since it is smaller than the sum of its proper divisors (499389821280).

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

149479898400 is a wasteful number, since it uses less digits than its factorization.

149479898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 149479898400 in words is "one hundred forty-nine billion, four hundred seventy-nine million, eight hundred ninety-eight thousand, four hundred".