146606962320 has 960 divisors, whose sum is σ = 656756964864. Its totient is φ = 28426567680.

The previous prime is 146606962291. The next prime is 146606962379. The reversal of 146606962320 is 23269606641.

146606962320 is a `hidden beast` number, since 1 + 4 + 6 + 606 + 9 + 6 + 2 + 32 + 0 = 666.

It is a super-3 number, since 3×146606962320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47893590 + ... + 47896650.

Almost surely, 2^146606962320 is an apocalyptic number.

146606962320 is a gapful number since it is divisible by the number (10) 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 146606962320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328378482432).

146606962320 is an abundant number, since it is smaller than the sum of its proper divisors (510150002544).

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

146606962320 is a wasteful number, since it uses less digits than its factorization.

146606962320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 14660 and 6962320, that added together give a triangular number (6976980 = T₃₇₃₅).

The spelling of 146606962320 in words is "one hundred forty-six billion, six hundred six million, nine hundred sixty-two thousand, three hundred twenty".