147693761273856 has 448 divisors, whose sum is σ = 479241282816000. Its totient is φ = 40363459411968.

The previous prime is 147693761273789. The next prime is 147693761273897. The reversal of 147693761273856 is 658372167396741.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193499175 + ... + 194260953.

Almost surely, 2^{147693761273856} is an apocalyptic number.

147693761273856 is a gapful number since it is divisible by the number (16) 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 147693761273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239620641408000).

147693761273856 is an abundant number, since it is smaller than the sum of its proper divisors (331547521542144).

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

147693761273856 is an frugal number, since it uses more digits than its factorization.

147693761273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761852 (or 761814 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 75.

The spelling of 147693761273856 in words is "one hundred forty-seven trillion, six hundred ninety-three billion, seven hundred sixty-one million, two hundred seventy-three thousand, eight hundred fifty-six".