149678419968 has 1248 divisors, whose sum is σ = 588053514240. Its totient is φ = 37623398400.

The previous prime is 149678419921. The next prime is 149678419973. The reversal of 149678419968 is 869914876941.

149678419968 is a `hidden beast` number, since 1 + 496 + 7 + 8 + 41 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×149678419968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (188116992) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 149678419896 and 149678419905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4828336113 + ... + 4828336143.

Almost surely, 2^149678419968 is an apocalyptic number.

149678419968 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 149678419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294026757120).

149678419968 is an abundant number, since it is smaller than the sum of its proper divisors (438375094272).

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

149678419968 is an frugal number, since it uses more digits than its factorization.

149678419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 149678419968 in words is "one hundred forty-nine billion, six hundred seventy-eight million, four hundred nineteen thousand, nine hundred sixty-eight".