145296696416256 has 4608 divisors, whose sum is σ = 615707688960000. Its totient is φ = 32950930636800.

The previous prime is 145296696416243. The next prime is 145296696416273. The reversal of 145296696416256 is 652614696692541.

145296696416256 is a `hidden beast` number, since 1 + 4 + 529 + 6 + 6 + 9 + 6 + 41 + 6 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×145296696416256² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 634483390350 + ... + 634483390578.

It is an arithmetic number, because the mean of its divisors is an integer number (133617120000).

Almost surely, 2^{145296696416256} is an apocalyptic number.

145296696416256 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 145296696416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307853844480000).

145296696416256 is an abundant number, since it is smaller than the sum of its proper divisors (470410992543744).

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

145296696416256 is a wasteful number, since it uses less digits than its factorization.

145296696416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 325 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 145296696416256 in words is "one hundred forty-five trillion, two hundred ninety-six billion, six hundred ninety-six million, four hundred sixteen thousand, two hundred fifty-six".