146798596407680 has 256 divisors, whose sum is σ = 418896225561600. Its totient is φ = 48140637216768.

The previous prime is 146798596407577. The next prime is 146798596407703. The reversal of 146798596407680 is 86704695897641.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 146798596407595 and 146798596407604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274677 + ... + 17285003.

It is an arithmetic number, because the mean of its divisors is an integer number (1636313381100).

Almost surely, 2^{146798596407680} is an apocalyptic number.

146798596407680 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 146798596407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209448112780800).

146798596407680 is an abundant number, since it is smaller than the sum of its proper divisors (272097629153920).

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

146798596407680 is a wasteful number, since it uses less digits than its factorization.

146798596407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15010449 (or 15010437 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 80.

The spelling of 146798596407680 in words is "one hundred forty-six trillion, seven hundred ninety-eight billion, five hundred ninety-six million, four hundred seven thousand, six hundred eighty".