149305693824 has 1024 divisors, whose sum is σ = 564019200000. Its totient is φ = 38691717120.

The previous prime is 149305693811. The next prime is 149305693853. The reversal of 149305693824 is 428396503941.

149305693824 is a `hidden beast` number, since 1 + 49 + 3 + 0 + 569 + 38 + 2 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 624709897 + ... + 624710135.

It is an arithmetic number, because the mean of its divisors is an integer number (550800000).

Almost surely, 2^149305693824 is an apocalyptic number.

149305693824 is a gapful number since it is divisible by the number (14) 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 149305693824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600000).

149305693824 is an abundant number, since it is smaller than the sum of its proper divisors (414713506176).

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

149305693824 is a wasteful number, since it uses less digits than its factorization.

149305693824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 149305693824 in words is "one hundred forty-nine billion, three hundred five million, six hundred ninety-three thousand, eight hundred twenty-four".