145372246656 has 512 divisors, whose sum is σ = 493516800000. Its totient is φ = 37663911936.

The previous prime is 145372246651. The next prime is 145372246699. The reversal of 145372246656 is 656642273541.

145372246656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145372246656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145372246599 and 145372246608.

It is not an unprimeable number, because it can be changed into a prime (145372246651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101022385 + ... + 101023823.

It is an arithmetic number, because the mean of its divisors is an integer number (963900000).

Almost surely, 2^145372246656 is an apocalyptic number.

145372246656 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 145372246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400000).

145372246656 is an abundant number, since it is smaller than the sum of its proper divisors (348144553344).

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

145372246656 is a wasteful number, since it uses less digits than its factorization.

145372246656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1523 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The spelling of 145372246656 in words is "one hundred forty-five billion, three hundred seventy-two million, two hundred forty-six thousand, six hundred fifty-six".