145791346399220 has 192 divisors, whose sum is σ = 315991364189760. Its totient is φ = 56476612608000.

The previous prime is 145791346399067. The next prime is 145791346399229. The reversal of 145791346399220 is 22993643197541.

145791346399220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 58121045648656 + 87670300750564 = 7623716^2 + 9363242^2 .

It is a super-3 number, since 3×145791346399220³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145791346399229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84126569474 + ... + 84126571206.

It is an arithmetic number, because the mean of its divisors is an integer number (1645788355155).

Almost surely, 2^{145791346399220} is an apocalyptic number.

145791346399220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145791346399220 is an abundant number, since it is smaller than the sum of its proper divisors (170200017790540).

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

145791346399220 is a wasteful number, since it uses less digits than its factorization.

145791346399220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 65.

The spelling of 145791346399220 in words is "one hundred forty-five trillion, seven hundred ninety-one billion, three hundred forty-six million, three hundred ninety-nine thousand, two hundred twenty".