348054292038144 has 160 divisors (see below), whose sum is σ = 976088820960000. Its totient is φ = 109906429906944.

The previous prime is 348054292038143. The next prime is 348054292038169. The reversal of 348054292038144 is 441830292450843.

It is a super-2 number, since 2×348054292038144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (348054292038143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609631087 + ... + 610201745.

It is an arithmetic number, because the mean of its divisors is an integer number (6100555131000).

Almost surely, 2^{348054292038144} 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 348054292038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488044410480000).

348054292038144 is an abundant number, since it is smaller than the sum of its proper divisors (628034528921856).

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

348054292038144 is a wasteful number, since it uses less digits than its factorization.

348054292038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591598 (or 591582 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 348054292038144 in words is "three hundred forty-eight trillion, fifty-four billion, two hundred ninety-two million, thirty-eight thousand, one hundred forty-four".