1458902216772 has 1152 divisors, whose sum is σ = 5467237171200. Its totient is φ = 330032102400.

The previous prime is 1458902216731. The next prime is 1458902216789. The reversal of 1458902216772 is 2776122098541.

1458902216772 is a `hidden beast` number, since 1 + 458 + 9 + 0 + 22 + 167 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1375025122 + ... + 1375026182.

It is an arithmetic number, because the mean of its divisors is an integer number (4745865600).

Almost surely, 2^{1458902216772} is an apocalyptic number.

1458902216772 is a gapful number since it is divisible by the number (12) 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 1458902216772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733618585600).

1458902216772 is an abundant number, since it is smaller than the sum of its proper divisors (4008334954428).

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

1458902216772 is a wasteful number, since it uses less digits than its factorization.

1458902216772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1458902216772 in words is "one trillion, four hundred fifty-eight billion, nine hundred two million, two hundred sixteen thousand, seven hundred seventy-two".