145422346400 has 72 divisors (see below), whose sum is σ = 355088522880. Its totient is φ = 58156450560.

The previous prime is 145422346379. The next prime is 145422346417. The reversal of 145422346400 is 4643224541.

It is a super-2 number, since 2×145422346400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4308791 + ... + 4342409.

It is an arithmetic number, because the mean of its divisors is an integer number (4931785040).

Almost surely, 2^145422346400 is an apocalyptic number.

145422346400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145422346400 is an abundant number, since it is smaller than the sum of its proper divisors (209666176480).

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

145422346400 is a wasteful number, since it uses less digits than its factorization.

145422346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39046 (or 39033 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 145422346400 in words is "one hundred forty-five billion, four hundred twenty-two million, three hundred forty-six thousand, four hundred".