1492345528800 has 1152 divisors, whose sum is σ = 5830726809600. Its totient is φ = 331282022400.

The previous prime is 1492345528787. The next prime is 1492345528801. The reversal of 1492345528800 is 88255432941.

It is a super-3 number, since 3×1492345528800³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1492345528801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5674317469 + ... + 5674317731.

It is an arithmetic number, because the mean of its divisors is an integer number (5061394800).

Almost surely, 2^{1492345528800} is an apocalyptic number.

1492345528800 is a gapful number since it is divisible by the number (10) 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 1492345528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915363404800).

1492345528800 is an abundant number, since it is smaller than the sum of its proper divisors (4338381280800).

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

1492345528800 is a wasteful number, since it uses less digits than its factorization.

1492345528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 1492345528800 in words is "one trillion, four hundred ninety-two billion, three hundred forty-five million, five hundred twenty-eight thousand, eight hundred".