145664097398400 has 1536 divisors, whose sum is σ = 574894704384000. Its totient is φ = 32385725890560.

The previous prime is 145664097398387. The next prime is 145664097398411. The reversal of 145664097398400 is 4893790466541.

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 191 ways as a sum of consecutive naturals, for example, 36388730799 + ... + 36388734801.

It is an arithmetic number, because the mean of its divisors is an integer number (374280406500).

Almost surely, 2^{145664097398400} is an apocalyptic number.

145664097398400 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 145664097398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287447352192000).

145664097398400 is an abundant number, since it is smaller than the sum of its proper divisors (429230606985600).

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

145664097398400 is a wasteful number, since it uses less digits than its factorization.

145664097398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 145664097398400 in words is "one hundred forty-five trillion, six hundred sixty-four billion, ninety-seven million, three hundred ninety-eight thousand, four hundred".