146610638290944 has 171 divisors, whose sum is σ = 423594771332863. Its totient is φ = 48864013320192.

The previous prime is 146610638290937. The next prime is 146610638290973. The reversal of 146610638290944 is 449092836016641.

It is a happy number.

The square root of 146610638290944 is 12108288.

It is a perfect power (a square), and thus also a powerful number.

146610638290944 is a `hidden beast` number, since 1 + 4 + 6 + 610 + 6 + 3 + 8 + 2 + 9 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×146610638290944² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18598326427 + ... + 18598334309.

Almost surely, 2^{146610638290944} is an apocalyptic number.

146610638290944 is the 12108288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146610638290944

146610638290944 is an abundant number, since it is smaller than the sum of its proper divisors (276984133041919).

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

146610638290944 is an frugal number, since it uses more digits than its factorization.

146610638290944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15808 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 146610638290944 in words is "one hundred forty-six trillion, six hundred ten billion, six hundred thirty-eight million, two hundred ninety thousand, nine hundred forty-four".