149001347432448 has 1600 divisors, whose sum is σ = 526671683572320. Its totient is φ = 41972774731776.

The previous prime is 149001347432423. The next prime is 149001347432453. The reversal of 149001347432448 is 844234743100941.

149001347432448 is a `hidden beast` number, since 1 + 4 + 90 + 0 + 13 + 4 + 74 + 32 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149001347432394 and 149001347432403.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 656393600911 + ... + 656393601137.

Almost surely, 2^{149001347432448} is an apocalyptic number.

149001347432448 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 149001347432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263335841786160).

149001347432448 is an abundant number, since it is smaller than the sum of its proper divisors (377670336139872).

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

149001347432448 is an frugal number, since it uses more digits than its factorization.

149001347432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 149001347432448 in words is "one hundred forty-nine trillion, one billion, three hundred forty-seven million, four hundred thirty-two thousand, four hundred forty-eight".