147753069408 has 960 divisors, whose sum is σ = 559569669120. Its totient is φ = 37254463488.

The previous prime is 147753069379. The next prime is 147753069413. The reversal of 147753069408 is 804960357741.

147753069408 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 530 + 69 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418563760 + ... + 418564112.

It is an arithmetic number, because the mean of its divisors is an integer number (582885072).

Almost surely, 2^147753069408 is an apocalyptic number.

147753069408 is a gapful number since it is divisible by the number (18) 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 147753069408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279784834560).

147753069408 is an abundant number, since it is smaller than the sum of its proper divisors (411816599712).

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

147753069408 is a wasteful number, since it uses less digits than its factorization.

147753069408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 147753069408 in words is "one hundred forty-seven billion, seven hundred fifty-three million, sixty-nine thousand, four hundred eight".