2652453161064 has 192 divisors, whose sum is σ = 8433585388800. Its totient is φ = 737211082752.

The previous prime is 2652453161041. The next prime is 2652453161143. The reversal of 2652453161064 is 4601613542562.

2652453161064 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 4 + 531 + 6 + 106 + 4 = 666.

It is a super-2 number, since 2×2652453161064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 116482672 + ... + 116505440.

It is an arithmetic number, because the mean of its divisors is an integer number (43924923900).

Almost surely, 2^{2652453161064} is an apocalyptic number.

2652453161064 is a gapful number since it is divisible by the number (24) 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 2652453161064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216792694400).

2652453161064 is an abundant number, since it is smaller than the sum of its proper divisors (5781132227736).

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

2652453161064 is a wasteful number, since it uses less digits than its factorization.

2652453161064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29072 (or 29065 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2652453161064 in words is "two trillion, six hundred fifty-two billion, four hundred fifty-three million, one hundred sixty-one thousand, sixty-four".