149171798016 has 816 divisors, whose sum is σ = 515266315200. Its totient is φ = 42807066624.

The previous prime is 149171798011. The next prime is 149171798051. The reversal of 149171798016 is 610897171941.

149171798016 is a `hidden beast` number, since 1 + 491 + 7 + 1 + 79 + 80 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149171798011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5143855090 + ... + 5143855118.

Almost surely, 2^149171798016 is an apocalyptic number.

149171798016 is a gapful number since it is divisible by the number (16) 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 149171798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257633157600).

149171798016 is an abundant number, since it is smaller than the sum of its proper divisors (366094517184).

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

149171798016 is an frugal number, since it uses more digits than its factorization.

149171798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 149171798016 in words is "one hundred forty-nine billion, one hundred seventy-one million, seven hundred ninety-eight thousand, sixteen".