144972414090 has 160 divisors (see below), whose sum is σ = 450097046784. Its totient is φ = 32794813440.

The previous prime is 144972414049. The next prime is 144972414179. The reversal of 144972414090 is 90414279441.

144972414090 is a `hidden beast` number, since 14 + 497 + 2 + 4 + 140 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418195 + ... + 681785.

Almost surely, 2^144972414090 is an apocalyptic number.

144972414090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144972414090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225048523392).

144972414090 is an abundant number, since it is smaller than the sum of its proper divisors (305124632694).

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

144972414090 is a wasteful number, since it uses less digits than its factorization.

144972414090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263714 (or 263705 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 144972414090 in words is "one hundred forty-four billion, nine hundred seventy-two million, four hundred fourteen thousand, ninety".