1451612745000 has 960 divisors, whose sum is σ = 5885702222400. Its totient is φ = 331153920000.

The previous prime is 1451612744957. The next prime is 1451612745019. The reversal of 1451612745000 is 5472161541.

1451612745000 is a `hidden beast` number, since 1 + 45 + 161 + 2 + 7 + 450 + 0 + 0 = 666.

It is a super-2 number, since 2×1451612745000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 227201806 + ... + 227208194.

It is an arithmetic number, because the mean of its divisors is an integer number (6130939815).

Almost surely, 2^{1451612745000} is an apocalyptic number.

1451612745000 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 1451612745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942851111200).

1451612745000 is an abundant number, since it is smaller than the sum of its proper divisors (4434089477400).

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

1451612745000 is a wasteful number, since it uses less digits than its factorization.

1451612745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1451612745000 in words is "one trillion, four hundred fifty-one billion, six hundred twelve million, seven hundred forty-five thousand".