1054348147152 has 240 divisors, whose sum is σ = 3078877314240. Its totient is φ = 349287054336.

The previous prime is 1054348147141. The next prime is 1054348147157. The reversal of 1054348147152 is 2517418434501.

1054348147152 is a `hidden beast` number, since 1 + 0 + 54 + 3 + 4 + 81 + 471 + 52 = 666.

It is a super-2 number, since 2×1054348147152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054348147098 and 1054348147107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054348147157) 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 47 ways as a sum of consecutive naturals, for example, 857890474 + ... + 857891702.

It is an arithmetic number, because the mean of its divisors is an integer number (12828655476).

Almost surely, 2^{1054348147152} is an apocalyptic number.

1054348147152 is a gapful number since it is divisible by the number (12) 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 1054348147152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539438657120).

1054348147152 is an abundant number, since it is smaller than the sum of its proper divisors (2024529167088).

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

1054348147152 is a wasteful number, since it uses less digits than its factorization.

1054348147152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1054348147152 in words is "one trillion, fifty-four billion, three hundred forty-eight million, one hundred forty-seven thousand, one hundred fifty-two".