161254354748256 has 2592 divisors, whose sum is σ = 622671567598080. Its totient is φ = 39120496128000.

The previous prime is 161254354748239. The next prime is 161254354748261. The reversal of 161254354748256 is 652847453452161.

161254354748256 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 5 + 4 + 3 + 547 + 4 + 82 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 161254354748193 and 161254354748202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 764238647991 + ... + 764238648201.

It is an arithmetic number, because the mean of its divisors is an integer number (240228228240).

Almost surely, 2^{161254354748256} is an apocalyptic number.

161254354748256 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 161254354748256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311335783799040).

161254354748256 is an abundant number, since it is smaller than the sum of its proper divisors (461417212849824).

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

161254354748256 is a wasteful number, since it uses less digits than its factorization.

161254354748256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 421 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 161254354748256 in words is "one hundred sixty-one trillion, two hundred fifty-four billion, three hundred fifty-four million, seven hundred forty-eight thousand, two hundred fifty-six".