145567970574336 has 480 divisors, whose sum is σ = 436155591755520. Its totient is φ = 47977789390848.

The previous prime is 145567970574287. The next prime is 145567970574349. The reversal of 145567970574336 is 633475079765541.

145567970574336 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 6 + 79 + 70 + 57 + 433 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35220895726 + ... + 35220899858.

It is an arithmetic number, because the mean of its divisors is an integer number (908657482824).

Almost surely, 2^{145567970574336} is an apocalyptic number.

145567970574336 is a gapful number since it is divisible by the number (16) 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 145567970574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218077795877760).

145567970574336 is an abundant number, since it is smaller than the sum of its proper divisors (290587621181184).

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

145567970574336 is an equidigital number, since it uses as much as digits as its factorization.

145567970574336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 2000376000, while the sum is 72.

The spelling of 145567970574336 in words is "one hundred forty-five trillion, five hundred sixty-seven billion, nine hundred seventy million, five hundred seventy-four thousand, three hundred thirty-six".