149647465440 has 768 divisors, whose sum is σ = 584860953600. Its totient is φ = 35433676800.

The previous prime is 149647465403. The next prime is 149647465501. The reversal of 149647465440 is 44564746941.

149647465440 is a `hidden beast` number, since 1 + 4 + 96 + 4 + 7 + 4 + 6 + 544 + 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 127 ways as a sum of consecutive naturals, for example, 620943720 + ... + 620943960.

It is an arithmetic number, because the mean of its divisors is an integer number (761537700).

Almost surely, 2^149647465440 is an apocalyptic number.

149647465440 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 149647465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292430476800).

149647465440 is an abundant number, since it is smaller than the sum of its proper divisors (435213488160).

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

149647465440 is a wasteful number, since it uses less digits than its factorization.

149647465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 149647465440 in words is "one hundred forty-nine billion, six hundred forty-seven million, four hundred sixty-five thousand, four hundred forty".