145898955530496 has 1215 divisors, whose sum is σ = 530049074598813. Its totient is φ = 39796474798080.

The previous prime is 145898955530453. The next prime is 145898955530551. The reversal of 145898955530496 is 694035559898541.

The square root of 145898955530496 is 12078864.

It is a perfect power (a square), and thus also a powerful number.

145898955530496 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 9 + 8 + 95 + 5 + 5 + 30 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41839370608896 + 104059584921600 = 6468336^2 + 10200960^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 280036382716 + ... + 280036383236.

Almost surely, 2^{145898955530496} is an apocalyptic number.

145898955530496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145898955530496 is the 12078864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145898955530496

145898955530496 is an abundant number, since it is smaller than the sum of its proper divisors (384150119068317).

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

145898955530496 is an frugal number, since it uses more digits than its factorization.

145898955530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 8398080000, while the sum is 81.

145898955530496 divided by its sum of digits (81) gives a square (1801221673216 = 1342096²).

The spelling of 145898955530496 in words is "one hundred forty-five trillion, eight hundred ninety-eight billion, nine hundred fifty-five million, five hundred thirty thousand, four hundred ninety-six".