149261181468960 has 576 divisors, whose sum is σ = 525446803961856. Its totient is φ = 35321129625600.

The previous prime is 149261181468929. The next prime is 149261181468977. The reversal of 149261181468960 is 69864181162941.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 149261181468891 and 149261181468900.

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, 20140487655 + ... + 20140495065.

It is an arithmetic number, because the mean of its divisors is an integer number (912234034656).

Almost surely, 2^{149261181468960} is an apocalyptic number.

149261181468960 is a gapful number since it is divisible by the number (10) 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 149261181468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723401980928).

149261181468960 is an abundant number, since it is smaller than the sum of its proper divisors (376185622492896).

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

149261181468960 is a wasteful number, since it uses less digits than its factorization.

149261181468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 149261181468960 in words is "one hundred forty-nine trillion, two hundred sixty-one billion, one hundred eighty-one million, four hundred sixty-eight thousand, nine hundred sixty".