743133412992152 has 192 divisors, whose sum is σ = 1804333613322240. Its totient is φ = 284112015264000.

The previous prime is 743133412992151. The next prime is 743133412992163. The reversal of 743133412992152 is 251299214331347.

It is a happy number.

It is a super-2 number, since 2×743133412992152² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743133412992151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111613277 + ... + 118083827.

It is an arithmetic number, because the mean of its divisors is an integer number (9397570902720).

Almost surely, 2^{743133412992152} 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 743133412992152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902166806661120).

743133412992152 is an abundant number, since it is smaller than the sum of its proper divisors (1061200200330088).

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

743133412992152 is a wasteful number, since it uses less digits than its factorization.

743133412992152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471342 (or 6471331 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 56.

The spelling of 743133412992152 in words is "seven hundred forty-three trillion, one hundred thirty-three billion, four hundred twelve million, nine hundred ninety-two thousand, one hundred fifty-two".