1451150064 has 480 divisors, whose sum is σ = 5330742144. Its totient is φ = 358318080.

The previous prime is 1451150047. The next prime is 1451150069. The reversal of 1451150064 is 4600511541.

1451150064 is a `hidden beast` number, since 1 + 451 + 150 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451150069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19878732 + ... + 19878804.

Almost surely, 2^1451150064 is an apocalyptic number.

1451150064 is a gapful number since it is divisible by the number (14) 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 1451150064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665371072).

1451150064 is an abundant number, since it is smaller than the sum of its proper divisors (3879592080).

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

1451150064 is a wasteful number, since it uses less digits than its factorization.

1451150064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1451150064 is about 38093.9636163002. The cubic root of 1451150064 is about 1132.1503585649.

The spelling of 1451150064 in words is "one billion, four hundred fifty-one million, one hundred fifty thousand, sixty-four".