157449224661696 has 1680 divisors, whose sum is σ = 580116868151040. Its totient is φ = 41740965826560.

The previous prime is 157449224661689. The next prime is 157449224661697. The reversal of 157449224661696 is 696166422944751.

157449224661696 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 49 + 22 + 466 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (157449224661697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13730632155 + ... + 13730643621.

Almost surely, 2^{157449224661696} is an apocalyptic number.

157449224661696 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 157449224661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290058434075520).

157449224661696 is an abundant number, since it is smaller than the sum of its proper divisors (422667643489344).

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

157449224661696 is a wasteful number, since it uses less digits than its factorization.

157449224661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11592 (or 11554 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 157449224661696 in words is "one hundred fifty-seven trillion, four hundred forty-nine billion, two hundred twenty-four million, six hundred sixty-one thousand, six hundred ninety-six".