146827215669120 has 512 divisors, whose sum is σ = 566401581849600. Its totient is φ = 31582564515840.

The previous prime is 146827215669119. The next prime is 146827215669157. The reversal of 146827215669120 is 21966512728641.

It is a super-2 number, since 2×146827215669120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168469826 + ... + 2168537534.

It is an arithmetic number, because the mean of its divisors is an integer number (1106253089550).

Almost surely, 2^{146827215669120} is an apocalyptic number.

146827215669120 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 146827215669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283200790924800).

146827215669120 is an abundant number, since it is smaller than the sum of its proper divisors (419574366180480).

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

146827215669120 is a wasteful number, since it uses less digits than its factorization.

146827215669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77246 (or 77234 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 146827215669120 in words is "one hundred forty-six trillion, eight hundred twenty-seven billion, two hundred fifteen million, six hundred sixty-nine thousand, one hundred twenty".