146064794400 has 1152 divisors, whose sum is σ = 622400163840. Its totient is φ = 32374702080.

The previous prime is 146064794389. The next prime is 146064794411. The reversal of 146064794400 is 4497460641.

146064794400 is a `hidden beast` number, since 1 + 460 + 64 + 7 + 94 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146064794389) and next prime (146064794411).

It is a super-2 number, since 2×146064794400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1292608744 + ... + 1292608856.

It is an arithmetic number, because the mean of its divisors is an integer number (540277920).

Almost surely, 2^146064794400 is an apocalyptic number.

146064794400 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 146064794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200081920).

146064794400 is an abundant number, since it is smaller than the sum of its proper divisors (476335369440).

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

146064794400 is a wasteful number, since it uses less digits than its factorization.

146064794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 146064794400 in words is "one hundred forty-six billion, sixty-four million, seven hundred ninety-four thousand, four hundred".