653378942866104 has 512 divisors, whose sum is σ = 2369031743232000. Its totient is φ = 161918643216384.

The previous prime is 653378942866079. The next prime is 653378942866109. The reversal of 653378942866104 is 401668249873356.

It is a happy number.

653378942866104 is a `hidden beast` number, since 6 + 5 + 3 + 37 + 8 + 9 + 428 + 66 + 104 = 666.

It is a super-2 number, since 2×653378942866104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653378942866109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203240287 + ... + 206430065.

It is an arithmetic number, because the mean of its divisors is an integer number (4627015123500).

It is a 1-persistent number, because it is pandigital, but 2⋅653378942866104 = 1306757885732208 is not.

Almost surely, 2^{653378942866104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653378942866104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184515871616000).

653378942866104 is an abundant number, since it is smaller than the sum of its proper divisors (1715652800365896).

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

653378942866104 is a wasteful number, since it uses less digits than its factorization.

653378942866104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190444 (or 3190434 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 653378942866104 in words is "six hundred fifty-three trillion, three hundred seventy-eight billion, nine hundred forty-two million, eight hundred sixty-six thousand, one hundred four".