157543170048 has 720 divisors, whose sum is σ = 548109555840. Its totient is φ = 44590694400.

The previous prime is 157543170023. The next prime is 157543170077. The reversal of 157543170048 is 840071345751.

157543170048 is a `hidden beast` number, since 1 + 57 + 543 + 17 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157543169985 and 157543170012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2218917853 + ... + 2218917923.

It is an arithmetic number, because the mean of its divisors is an integer number (761263272).

Almost surely, 2^157543170048 is an apocalyptic number.

157543170048 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 157543170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274054777920).

157543170048 is an abundant number, since it is smaller than the sum of its proper divisors (390566385792).

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

157543170048 is an frugal number, since it uses more digits than its factorization.

157543170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 157543170048 in words is "one hundred fifty-seven billion, five hundred forty-three million, one hundred seventy thousand, forty-eight".