53502314442354 has 96 divisors (see below), whose sum is σ = 122145279997104. Its totient is φ = 16902949570560.

The previous prime is 53502314442347. The next prime is 53502314442361. The reversal of 53502314442354 is 45324441320535.

53502314442354 is a `hidden beast` number, since 5 + 3 + 502 + 31 + 4 + 44 + 23 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (53502314442347) and next prime (53502314442361).

It can be written as a sum of positive squares in 8 ways, for example, as 36255511775025 + 17246802667329 = 6021255^2 + 4152927^2 .

It is a super-3 number, since 3×53502314442354³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 16330542 + ... + 19331094.

Almost surely, 2^{53502314442354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53502314442354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072639998552).

53502314442354 is an abundant number, since it is smaller than the sum of its proper divisors (68642965554750).

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

53502314442354 is a wasteful number, since it uses less digits than its factorization.

53502314442354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001292 (or 3001289 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 53502314442354 its reverse (45324441320535), we get a palindrome (98826755762889).

The spelling of 53502314442354 in words is "fifty-three trillion, five hundred two billion, three hundred fourteen million, four hundred forty-two thousand, three hundred fifty-four".