147769348961280 has 352 divisors, whose sum is σ = 475373372318208. Its totient is φ = 39176640921600.

The previous prime is 147769348961261. The next prime is 147769348961287. The reversal of 147769348961280 is 82169843967741.

It is a super-2 number, since 2×147769348961280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147769348961287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18218384425 + ... + 18218392535.

Almost surely, 2^{147769348961280} is an apocalyptic number.

147769348961280 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 147769348961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237686686159104).

147769348961280 is an abundant number, since it is smaller than the sum of its proper divisors (327604023356928).

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

147769348961280 is a wasteful number, since it uses less digits than its factorization.

147769348961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 147769348961280 in words is "one hundred forty-seven trillion, seven hundred sixty-nine billion, three hundred forty-eight million, nine hundred sixty-one thousand, two hundred eighty".