749370157056 has 288 divisors, whose sum is σ = 2227076003880. Its totient is φ = 242573377536.

The previous prime is 749370157043. The next prime is 749370157087. The reversal of 749370157056 is 650751073947.

749370157056 is a `hidden beast` number, since 7 + 493 + 70 + 15 + 70 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 747325670400 + 2044486656 = 864480^2 + 45216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×749370157056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 749370156993 and 749370157011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649930176 + ... + 649931328.

Almost surely, 2^749370157056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749370157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113538001940).

749370157056 is an abundant number, since it is smaller than the sum of its proper divisors (1477705846824).

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

749370157056 is a wasteful number, since it uses less digits than its factorization.

749370157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 749370157056 in words is "seven hundred forty-nine billion, three hundred seventy million, one hundred fifty-seven thousand, fifty-six".