145464355512960 has 512 divisors, whose sum is σ = 535669527525120. Its totient is φ = 33183765626880.

The previous prime is 145464355512947. The next prime is 145464355512979. The reversal of 145464355512960 is 69215553464541.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 145464355512894 and 145464355512903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180416564 + ... + 2180483276.

Almost surely, 2^{145464355512960} is an apocalyptic number.

145464355512960 is a gapful number since it is divisible by the number (10) 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 145464355512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267834763762560).

145464355512960 is an abundant number, since it is smaller than the sum of its proper divisors (390205172012160).

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

145464355512960 is a wasteful number, since it uses less digits than its factorization.

145464355512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72836 (or 72824 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 60.

The spelling of 145464355512960 in words is "one hundred forty-five trillion, four hundred sixty-four billion, three hundred fifty-five million, five hundred twelve thousand, nine hundred sixty".