146479057772544 has 896 divisors, whose sum is σ = 510311000102400. Its totient is φ = 40646328975360.

The previous prime is 146479057772539. The next prime is 146479057772557. The reversal of 146479057772544 is 445277750974641.

146479057772544 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 7 + 9 + 0 + 5 + 7 + 7 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×146479057772544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36720744502 + ... + 36720748490.

It is an arithmetic number, because the mean of its divisors is an integer number (569543526900).

Almost surely, 2^{146479057772544} is an apocalyptic number.

146479057772544 is a gapful number since it is divisible by the number (14) 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 146479057772544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255155500051200).

146479057772544 is an abundant number, since it is smaller than the sum of its proper divisors (363831942329856).

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

146479057772544 is an equidigital number, since it uses as much as digits as its factorization.

146479057772544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 146479057772544 in words is "one hundred forty-six trillion, four hundred seventy-nine billion, fifty-seven million, seven hundred seventy-two thousand, five hundred forty-four".