1020295335348 has 432 divisors, whose sum is σ = 2934963944640. Its totient is φ = 309617054208.

The previous prime is 1020295335341. The next prime is 1020295335349. The reversal of 1020295335348 is 8435335920201.

1020295335348 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 29 + 533 + 53 + 48 = 666.

It is a super-2 number, since 2×1020295335348² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020295335341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1155486915 + ... + 1155487797.

It is an arithmetic number, because the mean of its divisors is an integer number (6793898020).

Almost surely, 2^{1020295335348} is an apocalyptic number.

1020295335348 is a gapful number since it is divisible by the number (18) 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 1020295335348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467481972320).

1020295335348 is an abundant number, since it is smaller than the sum of its proper divisors (1914668609292).

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

1020295335348 is a wasteful number, since it uses less digits than its factorization.

1020295335348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1020295335348 in words is "one trillion, twenty billion, two hundred ninety-five million, three hundred thirty-five thousand, three hundred forty-eight".