146916927360 has 768 divisors, whose sum is σ = 609493248000. Its totient is φ = 33347801088.

The previous prime is 146916927277. The next prime is 146916927373. The reversal of 146916927360 is 63729619641.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146916927297 and 146916927306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141401721 + ... + 141402759.

It is an arithmetic number, because the mean of its divisors is an integer number (793611000).

Almost surely, 2^146916927360 is an apocalyptic number.

146916927360 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 146916927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624000).

146916927360 is an abundant number, since it is smaller than the sum of its proper divisors (462576320640).

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

146916927360 is a wasteful number, since it uses less digits than its factorization.

146916927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 146916927360 in words is "one hundred forty-six billion, nine hundred sixteen million, nine hundred twenty-seven thousand, three hundred sixty".