147661263360 has 1440 divisors, whose sum is σ = 621205865280. Its totient is φ = 33323581440.

The previous prime is 147661263319. The next prime is 147661263371. The reversal of 147661263360 is 63362166741.

147661263360 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 6 + 1 + 2 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4763266545 + ... + 4763266575.

It is an arithmetic number, because the mean of its divisors is an integer number (431392962).

Almost surely, 2^147661263360 is an apocalyptic number.

147661263360 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 147661263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310602932640).

147661263360 is an abundant number, since it is smaller than the sum of its proper divisors (473544601920).

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

147661263360 is an equidigital number, since it uses as much as digits as its factorization.

147661263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 147661263360 in words is "one hundred forty-seven billion, six hundred sixty-one million, two hundred sixty-three thousand, three hundred sixty".