149367673728 has 768 divisors, whose sum is σ = 581493024000. Its totient is φ = 37309870080.

The previous prime is 149367673723. The next prime is 149367673739. The reversal of 149367673728 is 827376763941.

149367673728 is a `hidden beast` number, since 1 + 493 + 6 + 7 + 6 + 73 + 72 + 8 = 666.

It is a super-2 number, since 2×149367673728² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149367673723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41826183 + ... + 41829753.

It is an arithmetic number, because the mean of its divisors is an integer number (757152375).

Almost surely, 2^149367673728 is an apocalyptic number.

149367673728 is a gapful number since it is divisible by the number (18) 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 149367673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290746512000).

149367673728 is an abundant number, since it is smaller than the sum of its proper divisors (432125350272).

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

149367673728 is a wasteful number, since it uses less digits than its factorization.

149367673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3615 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 149367673728 in words is "one hundred forty-nine billion, three hundred sixty-seven million, six hundred seventy-three thousand, seven hundred twenty-eight".