145233400464600 has 192 divisors, whose sum is σ = 544808319321600. Its totient is φ = 31243487815680.

The previous prime is 145233400464577. The next prime is 145233400464683. The reversal of 145233400464600 is 6464004332541.

It is a super-2 number, since 2×145233400464600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016969220 + ... + 1017112019.

It is an arithmetic number, because the mean of its divisors is an integer number (2837543329800).

Almost surely, 2^{145233400464600} is an apocalyptic number.

145233400464600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145233400464600 is an abundant number, since it is smaller than the sum of its proper divisors (399574918857000).

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

145233400464600 is a wasteful number, since it uses less digits than its factorization.

145233400464600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034081282 (or 2034081273 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 145233400464600 in words is "one hundred forty-five trillion, two hundred thirty-three billion, four hundred million, four hundred sixty-four thousand, six hundred".