150416460000 has 240 divisors, whose sum is σ = 548219826000. Its totient is φ = 40110912000.

The previous prime is 150416459993. The next prime is 150416460023. The reversal of 150416460000 is 64614051.

150416460000 is a `hidden beast` number, since 1 + 50 + 4 + 1 + 6 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×150416460000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400726 + ... + 679274.

It is an arithmetic number, because the mean of its divisors is an integer number (2284249275).

Almost surely, 2^150416460000 is an apocalyptic number.

150416460000 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 150416460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274109913000).

150416460000 is an abundant number, since it is smaller than the sum of its proper divisors (397803366000).

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

150416460000 is an equidigital number, since it uses as much as digits as its factorization.

150416460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278588 (or 278559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 150416460000 in words is "one hundred fifty billion, four hundred sixteen million, four hundred sixty thousand".