742154250816 has 168 divisors, whose sum is σ = 2321678571264. Its totient is φ = 224794352640.

The previous prime is 742154250811. The next prime is 742154250833. The reversal of 742154250816 is 618052451247.

742154250816 is a `hidden beast` number, since 7 + 4 + 21 + 542 + 5 + 0 + 81 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (742154250811) 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 23 ways as a sum of consecutive naturals, for example, 14756785 + ... + 14806991.

Almost surely, 2^742154250816 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 742154250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160839285632).

742154250816 is an abundant number, since it is smaller than the sum of its proper divisors (1579524320448).

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

742154250816 is a wasteful number, since it uses less digits than its factorization.

742154250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52569 (or 52556 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 742154250816 in words is "seven hundred forty-two billion, one hundred fifty-four million, two hundred fifty thousand, eight hundred sixteen".