1454164622064 has 240 divisors, whose sum is σ = 5076597576960. Its totient is φ = 377499709440.

The previous prime is 1454164622041. The next prime is 1454164622083. The reversal of 1454164622064 is 4602264614541.

1454164622064 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 16 + 4 + 622 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×1454164622064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20910519 + ... + 20979945.

It is an arithmetic number, because the mean of its divisors is an integer number (21152489904).

Almost surely, 2^{1454164622064} is an apocalyptic number.

1454164622064 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 1454164622064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538298788480).

1454164622064 is an abundant number, since it is smaller than the sum of its proper divisors (3622432954896).

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

1454164622064 is a wasteful number, since it uses less digits than its factorization.

1454164622064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71348 (or 71339 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1454164622064 in words is "one trillion, four hundred fifty-four billion, one hundred sixty-four million, six hundred twenty-two thousand, sixty-four".