145588858060800 has 1632 divisors, whose sum is σ = 602607164244480. Its totient is φ = 30131041075200.

The previous prime is 145588858060733. The next prime is 145588858060823. The reversal of 145588858060800 is 8060858885541.

It is a super-2 number, since 2×145588858060800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118461234586 + ... + 118461235814.

Almost surely, 2^{145588858060800} is an apocalyptic number.

145588858060800 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 145588858060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301303582122240).

145588858060800 is an abundant number, since it is smaller than the sum of its proper divisors (457018306183680).

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

145588858060800 is a wasteful number, since it uses less digits than its factorization.

145588858060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 66.

The spelling of 145588858060800 in words is "one hundred forty-five trillion, five hundred eighty-eight billion, eight hundred fifty-eight million, sixty thousand, eight hundred".