145633644504 has 96 divisors (see below), whose sum is σ = 401341683600. Its totient is φ = 47694151680.

The previous prime is 145633644503. The next prime is 145633644529. The reversal of 145633644504 is 405446336541.

145633644504 is a `hidden beast` number, since 1 + 4 + 5 + 633 + 6 + 4 + 4 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145633644504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145633644503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8117464 + ... + 8135384.

Almost surely, 2^145633644504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145633644504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200670841800).

145633644504 is an abundant number, since it is smaller than the sum of its proper divisors (255708039096).

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

145633644504 is a wasteful number, since it uses less digits than its factorization.

145633644504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19905 (or 19898 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 145633644504 in words is "one hundred forty-five billion, six hundred thirty-three million, six hundred forty-four thousand, five hundred four".