1653406280064 has 1024 divisors, whose sum is σ = 6394097664000. Its totient is φ = 407835648000.

The previous prime is 1653406280063. The next prime is 1653406280069. The reversal of 1653406280064 is 4600826043561.

1653406280064 is a `hidden beast` number, since 16 + 5 + 3 + 4 + 0 + 628 + 0 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653406280063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 924206082 + ... + 924207870.

It is an arithmetic number, because the mean of its divisors is an integer number (6244236000).

Almost surely, 2^{1653406280064} is an apocalyptic number.

1653406280064 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 1653406280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197048832000).

1653406280064 is an abundant number, since it is smaller than the sum of its proper divisors (4740691383936).

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

1653406280064 is a wasteful number, since it uses less digits than its factorization.

1653406280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1653406280064 in words is "one trillion, six hundred fifty-three billion, four hundred six million, two hundred eighty thousand, sixty-four".