145968463872 has 432 divisors, whose sum is σ = 526064378112. Its totient is φ = 37890293760.

The previous prime is 145968463843. The next prime is 145968463891. The reversal of 145968463872 is 278364869541.

145968463872 is a `hidden beast` number, since 1 + 4 + 5 + 96 + 8 + 463 + 87 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90832093 + ... + 90833699.

It is an arithmetic number, because the mean of its divisors is an integer number (1217741616).

Almost surely, 2^145968463872 is an apocalyptic number.

145968463872 is a gapful number since it is divisible by the number (12) 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 145968463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263032189056).

145968463872 is an abundant number, since it is smaller than the sum of its proper divisors (380095914240).

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

145968463872 is an equidigital number, since it uses as much as digits as its factorization.

145968463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1630 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 145968463872 in words is "one hundred forty-five billion, nine hundred sixty-eight million, four hundred sixty-three thousand, eight hundred seventy-two".