146001259170816 has 1056 divisors, whose sum is σ = 494055551208960. Its totient is φ = 37431807049728.

The previous prime is 146001259170737. The next prime is 146001259170841. The reversal of 146001259170816 is 618071952100641.

It is a super-2 number, since 2×146001259170816² (a number of 29 digits) contains 22 as substring.

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, 18211454040 + ... + 18211462056.

Almost surely, 2^{146001259170816} is an apocalyptic number.

146001259170816 is a gapful number since it is divisible by the number (16) 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 146001259170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247027775604480).

146001259170816 is an abundant number, since it is smaller than the sum of its proper divisors (348054292038144).

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

146001259170816 is a wasteful number, since it uses less digits than its factorization.

146001259170816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 146001259170816 in words is "one hundred forty-six trillion, one billion, two hundred fifty-nine million, one hundred seventy thousand, eight hundred sixteen".