748168151040 has 760 divisors, whose sum is σ = 2786228889840. Its totient is φ = 192631799808.

The previous prime is 748168151009. The next prime is 748168151041. The reversal of 748168151040 is 40151861847.

748168151040 is a `hidden beast` number, since 7 + 4 + 8 + 16 + 81 + 510 + 40 = 666.

It is a super-2 number, since 2×748168151040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (748168151041) by changing a digit.

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, 25798901746 + ... + 25798901774.

Almost surely, 2^748168151040 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 748168151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393114444920).

748168151040 is an abundant number, since it is smaller than the sum of its proper divisors (2038060738800).

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

748168151040 is an frugal number, since it uses more digits than its factorization.

748168151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 748168151040 in words is "seven hundred forty-eight billion, one hundred sixty-eight million, one hundred fifty-one thousand, forty".