145365633504000 has 9216 divisors, whose sum is σ = 744196944691200. Its totient is φ = 27088846848000.

The previous prime is 145365633503999. The next prime is 145365633504089. The reversal of 145365633504000 is 405336563541.

145365633504000 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 6 + 5 + 633 + 5 + 0 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145365633504000² (a number of 29 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 1023 ways as a sum of consecutive naturals, for example, 1991310047964 + ... + 1991310048036.

Almost surely, 2^{145365633504000} is an apocalyptic number.

145365633504000 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 145365633504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372098472345600).

145365633504000 is an abundant number, since it is smaller than the sum of its proper divisors (598831311187200).

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

145365633504000 is a wasteful number, since it uses less digits than its factorization.

145365633504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 145365633504000 in words is "one hundred forty-five trillion, three hundred sixty-five billion, six hundred thirty-three million, five hundred four thousand".