145942335366912 has 540 divisors, whose sum is σ = 508433782875480. Its totient is φ = 41515657408512.

The previous prime is 145942335366907. The next prime is 145942335366967. The reversal of 145942335366912 is 219663533249541.

145942335366912 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 4 + 2 + 3 + 3 + 536 + 6 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 145942335366912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232365043 + ... + 232992269.

It is an arithmetic number, because the mean of its divisors is an integer number (941544042362).

Almost surely, 2^{145942335366912} is an apocalyptic number.

145942335366912 is a gapful number since it is divisible by the number (12) 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 145942335366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254216891437740).

145942335366912 is an abundant number, since it is smaller than the sum of its proper divisors (362491447508568).

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

145942335366912 is an equidigital number, since it uses as much as digits as its factorization.

145942335366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627498 (or 627468 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 145942335366912 in words is "one hundred forty-five trillion, nine hundred forty-two billion, three hundred thirty-five million, three hundred sixty-six thousand, nine hundred twelve".