61438346154 has 384 divisors, whose sum is σ = 163383091200. Its totient is φ = 16986516480.

The previous prime is 61438346129. The next prime is 61438346197. The reversal of 61438346154 is 45164383416.

61438346154 is a `hidden beast` number, since 61 + 4 + 3 + 83 + 461 + 54 = 666.

Its product of digits (829440) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 740220997 + ... + 740221079.

It is an arithmetic number, because the mean of its divisors is an integer number (425476800).

Almost surely, 2^61438346154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61438346154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691545600).

61438346154 is an abundant number, since it is smaller than the sum of its proper divisors (101944745046).

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

61438346154 is a wasteful number, since it uses less digits than its factorization.

61438346154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 192 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 61438346154 in words is "sixty-one billion, four hundred thirty-eight million, three hundred forty-six thousand, one hundred fifty-four".