145436611363632 has 320 divisors, whose sum is σ = 451093717440000. Its totient is φ = 44695298506752.

The previous prime is 145436611363609. The next prime is 145436611363699. The reversal of 145436611363632 is 236363116634541.

145436611363632 is a `hidden beast` number, since 1 + 4 + 5 + 436 + 6 + 113 + 63 + 6 + 32 = 666.

It is a super-2 number, since 2×145436611363632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122029744 + ... + 123215792.

It is an arithmetic number, because the mean of its divisors is an integer number (1409667867000).

Almost surely, 2^{145436611363632} is an apocalyptic number.

145436611363632 is a gapful number since it is divisible by the number (12) 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 145436611363632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225546858720000).

145436611363632 is an abundant number, since it is smaller than the sum of its proper divisors (305657106076368).

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

145436611363632 is a wasteful number, since it uses less digits than its factorization.

145436611363632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186425 (or 1186413 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 145436611363632 in words is "one hundred forty-five trillion, four hundred thirty-six billion, six hundred eleven million, three hundred sixty-three thousand, six hundred thirty-two".