145430463591936 has 320 divisors, whose sum is σ = 455905538035200. Its totient is φ = 45677050011648.

The previous prime is 145430463591911. The next prime is 145430463591953. The reversal of 145430463591936 is 639195364034541.

145430463591936 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 3 + 0 + 4 + 6 + 3 + 591 + 9 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17889370 + ... + 24716198.

It is an arithmetic number, because the mean of its divisors is an integer number (1424704806360).

Almost surely, 2^{145430463591936} is an apocalyptic number.

145430463591936 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 145430463591936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227952769017600).

145430463591936 is an abundant number, since it is smaller than the sum of its proper divisors (310475074443264).

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

145430463591936 is an equidigital number, since it uses as much as digits as its factorization.

145430463591936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826946 (or 6826924 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 145430463591936 in words is "one hundred forty-five trillion, four hundred thirty billion, four hundred sixty-three million, five hundred ninety-one thousand, nine hundred thirty-six".